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Analogs of homology groups for algebraic varieties
In algebraic geometry, the Chow groups (named after Wei-Liang Chow by Claude Chevalley (1958)) of an algebraic variety over any field are algebro-geometric
Chow_group
Concept in algebraic geometry
In algebraic geometry, the Chow group of a stack is a generalization of the Chow group of a variety or scheme to stacks. For a quotient stack X = [ Y
Chow_group_of_a_stack
Hong Kong–based privately owned conglomerate
Chow Tai Fook group is a Hong Kong–based, privately owned conglomerate with holdings in the jewellery, property development, hotel, department store,
Chow_Tai_Fook
Mathematical theory
arithmetic Chow groups CHp(X) of an arithmetic variety X, and defines Chern classes for Hermitian vector bundles over X taking values in the arithmetic Chow groups
Arakelov_theory
In algebraic geometry, Bloch's higher Chow groups, a generalization of Chow group, is a precursor and a basic example of motivic cohomology (for smooth
Bloch's_higher_Chow_group
Fiber bundle whose fibers are projective spaces
description remains true with Chow ring in place of cohomology ring (still assuming X is smooth). In particular, for Chow groups, there is the direct sum decomposition
Projective_bundle
order to put a ring structure on the Chow group of a singular variety, the resulting ring called an operational Chow ring. On technical levels, a bivariant
Bivariant_theory
Subject area in mathematics
K-theory through its links with motivic cohomology and specifically Chow groups. The subject also includes classical number-theoretic topics like quadratic
Algebraic_K-theory
1 {\displaystyle d=1} case of Chow varieties. Chow varieties are distinct from Chow groups, which are the abelian group of all algebraic cycles on a variety
Chow_variety
Algebraic invariant
{\displaystyle K_{n}^{M}(F)\to {\text{CH}}^{n}(F,n)} to Bloch's Higher chow groups which induces a morphism of graded rings K ∗ M ( F ) → CH ∗ ( F , ∗ )
Milnor_K-theory
Function in algebraic geometry
which is an element of the zeroth Chow group of X. Modulo some solvable technical difficulties (e.g., what is the Chow group of a stack?), the definition extends
Behrend_function
Invariant of algebraic varieties and of more general schemes
generalizing Chow groups to a bigraded family of groups, (Borel–Moore) motivic homology groups (which were first called higher Chow groups by Bloch). Namely
Motivic_cohomology
Indian university teacher (born 1971)
the exceptional divisors. This allows the complete calculation of the Chow group of 0-cycles on an algebraic variety in many cases, like the case of rational
Amalendu_Krishna
Canadian politician (born 1957)
Olivia Chow (born March 24, 1957) is a Canadian politician who has been the 66th and current mayor of Toronto since 2023. Previously, Chow served as the
Olivia_Chow
Generalizations of codimension-1 subvarieties of algebraic varieties
class group is the group of divisors modulo linear equivalence. For a variety X of dimension n over a field, the divisor class group is a Chow group; namely
Divisor_(algebraic_geometry)
Chinese transnational organised crime syndicate
number of groups has consolidated to about 50, of which 14 are under police surveillance. There were four main groups of triads—the Chiu Chow Group (including
Triad_(organised_crime)
Office building in Toronto, Ontario
2 million in 1999. The building is currently owned and managed by Lee Chow Group. The Gooderham Building is well-known both for its narrow wedge shape
Gooderham_Building
F(X\times \mathbb {A} ^{1})} for every X. For example, Chow groups as well as motivic cohomology groups form presheaves with transfers. Let X , Y {\displaystyle
Presheaf_with_transfers
Mathematical manifold theory
information about the Chow group of algebraic cycles on a given variety. The Hodge conjecture is about the image of the cycle map from Chow groups to ordinary cohomology
Hodge_theory
Structure in algebraic geometry
generalizations from rational functions on varieties to divisors on varieties to Chow groups of varieties. The generalization happens in more than one direction,
Motive_(algebraic_geometry)
Chinese mathematician
Chow Wei-Liang (simplified Chinese: 周炜良; traditional Chinese: 周煒良; pinyin: Zhōu Wěiliáng; Wade–Giles: Chou Weiliang; October 1, 1911, Shanghai – August
Wei-Liang_Chow
Hong Kong actor and filmmaker (born 1962)
Stephen Chow Sing-chi (Chinese: 周星馳; born 22 June 1962) is a Hong Kong filmmaker and former actor, known for his mo lei tau comedy, which has a significant
Stephen_Chow
Chinese stir-fried noodles
Chow mein (/ˈtʃaʊ ˈmeɪn/ and /ˈtʃaʊ ˈmiːn/; simplified Chinese: 炒面; traditional Chinese: 炒麵; Mandarin Pinyin: chǎomiàn; Cantonese Yale: cháaumihn) is a
Chow_mein
Jewellery company in Hong Kong
Chow Sang Sang Holdings International Limited, or Chow Sang Sang Group, doing business as Chow Sang Sang jewelry Company Limited or Chow Sang Sang (Chinese:
Chow_Sang_Sang
Privately owned hotel chain
of 2016, Rosewood Hotel Group was owned by Chow Tai Fook Enterprises, having acquired Rosewood Hotel Group in 2015 from Chow Tai Fook Enterprises' listed
Rosewood_Hotel_Group
Result in algebraic K-theory relating Chow groups to cohomology
introduced by Spencer Bloch for K 2 {\displaystyle K_{2}} , states that the Chow group of a smooth variety X over a field is isomorphic to the cohomology of
Bloch's_formula
American YouTuber (born 1998)
Alan Chikin Chow (born November 15, 1998) is an American actor, digital creator, producer, writer, and influencer. He is the highest-ranking YouTube shorts
Alan_Chikin_Chow
American diamond manufacturer and jewelry design company
by the Chow Tai Fook Jewellery Group of Hong Kong. The brand was founded in 1996 in Boston, Massachusetts, United States, and purchased by Chow Tai Fook
Hearts_on_Fire_(company)
Generalisation of Jacobian variety
CH_{0}(V)\to \operatorname {Alb} (V)(k)} from the Chow group of 0-dimensional cycles on V to the group of rational points of Alb ( V ) {\displaystyle
Albanese_variety
Hong Kong activist, barrister, and politician
Tiananmen Square protests and massacre, Chow was cast into the limelight, having become the convenor of the group after the arrest of leaders Lee Cheuk-yan
Chow_Hang-tung
Hospitals Wong See Sum Primary School and Tung Wah Group of Hospitals Chow Yin Sum Primary School. Tung Wah Group of Hospitals Wong See Sum Primary School (Chinese:
Primary schools of Tung Wah Group of Hospitals in Tsing Yi
Primary_schools_of_Tung_Wah_Group_of_Hospitals_in_Tsing_Yi
American mathematician
Chicago. Bloch introduced the Bloch group in 1978. He introduced Bloch's higher Chow group, a generalization of Chow groups, in 1986. He also introduced Bloch's
Spencer_Bloch
South African curry dish
Bunny chow, often referred to simply as a bunny, is an Indian South African fast food dish consisting of a hollowed-out loaf of white bread filled with
Bunny_chow
Unsolved problem in geometry
Hodge conjecture, one needs to replace Chow groups, which can also be expressed as motivic cohomology groups, by a variant known as étale (or Lichtenbaum)
Hodge_conjecture
2013 Chinese-Hong Kong film by Stephen Chow and Derek Kwok
2013 fantasy comedy film co-written and produced by Stephen Chow and co-directed by Chow and Derek Kwok. A Chinese-Hong Kong co-production, the movie
Journey to the West: Conquering the Demons
Journey_to_the_West:_Conquering_the_Demons
List of companies on the NZX
deListed NZ. Retrieved 25 November 2020. "Chow Group Limited (CGL)". Stuff. Retrieved 3 January 2017. "Chow Group Limited (CGL)". Retrieved 3 January 2017
List of companies listed on the New Zealand Exchange
List_of_companies_listed_on_the_New_Zealand_Exchange
Hong Kong actress, fashion publicist and entrepreneur
Valerie Chow (born 16 December 1970) is a Hong Kong former actress, fashion publicist, and entrepreneur. In English language film and television roles
Valerie_Chow
A special fiber. Chow group The k-th Chow group A k ( X ) {\displaystyle A_{k}(X)} of a smooth variety X is the free abelian group generated by closed
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Chemist
Christine "Christy" Chow is a professor of chemistry (biochemistry division) and former associate dean of the College of Liberal Arts and Sciences at Wayne
Christine_S._Chow
Hong Kong entrepreneur
jewellery retailing in 1960. "Chow Tai Fook Puts "Golden" Touches On Event". 上海国际田径黄金大奖赛有限公司. 8 September 2005 – via Sina. Chow Tai Fook Jewellery Group
Chow_Chi-yuen
Problem in algebraic geometry
{\displaystyle (X_{1}\cdots X_{r})} , the intersection product, in the Chow group of an ambient space and, in this situation, the problem is to understand
Residual_intersection
Branch of algebraic geometry
sequence argument, it can be shown that μ(Z; V, W) = μ(Z; W, V). The Chow ring is the group of algebraic cycles modulo rational equivalence together with the
Intersection_theory
Chinese-American criminal (born 1959)
Raymond "Shrimp Boy" Kwok-Cheung Chow (Chinese: 周國祥; Jyutping: zau1 gwok3 coeng4; born December 31, 1959) is a Hong Kong-born felon with ties to a San
Raymond_"Shrimp_Boy"_Chow
Chinese general (1890–1953)
Chow Chih (14 February 1890 – 8 March 1953) was a general for Sun Yat-sen and a four-star general for Chiang Kai-shek during the Chinese Civil War and
Chow_Chih
Shing 廣盛 Kwong Sing Tong 廣聲堂 Yuet Group 粵字頭 Yuet Kwong 粵廣 Yuet Tung 粵東 Ching Group 正字頭 Ching Lung Tuen 正龍團 Chiu Chow Group 潮州幫 Fuk Yee Hing 福義興(老福) Sun Yee
List of Chinese criminal organizations
List_of_Chinese_criminal_organizations
List of groups engaged in illegal activities
Tiandihui Hong Kong-based Triads Chiu Chow Group 潮州集团 Sun Yee On 新義安(老新) King Yee 景仪 Fuk Yee Hing 福怡兴 Yee Kwan 怡君 14K Group 十四K 14K Yee 十四怡K 14K Hau 十四豪K 14K
List of criminal enterprises, gangs, and syndicates
List_of_criminal_enterprises,_gangs,_and_syndicates
American politician (1920–2008)
Army. Chow had five children. Chow's children are Edward Chow Jr, Shelton Chow, Cheryl Chow, Brien Chow, and Mark Chow. Chow's daughter, Cheryl Chow, served
Ruby_Chow
2026 Chinese-Hong Kong film by Stephen Chow
Football') is a 2026 sports comedy film written and directed by Stephen Chow. A spiritual successor to the 2001 film Shaolin Soccer co-produced by China
Kung_Fu_Soccer_(film)
2016 Chinese-Hong Kong film by Stephen Chow
romantic fantasy comedy film directed, co-written and produced by Stephen Chow, which stars Lin Yun, Deng Chao, Zhang Yuqi and Show Lo. A Chinese-Hong Kong
The_Mermaid_(2016_film)
étale cohomology. In a sense, it is a theory that is coarser than the Chow group of a stack. The cohomology of a quotient stack (e.g., classifying stack)
Cohomology_of_a_stack
Hong Kong singer-songwriter and actress
Vivian Chow Wai-man (Chinese: 周慧敏, born 10 November 1967) is a Hong Kong-based Cantopop singer-songwriter and actress. Vivian Chow is the only child in
Vivian_Chow
paper "Algebraic Cycles and Higher K-theory" which introduced a higher Chow group, a precursor to motivic cohomology. The paper used an incorrect moving
List_of_incomplete_proofs
Generalization of algebraic spaces or schemes
presentation, the stack B G {\displaystyle BG} is algebraictheorem 6.1. Gerbe Chow group of a stack Cohomology of a stack Quotient stack Sheaf on an algebraic
Algebraic_stack
2008 Hong Kong–Chinese film by Stephen Chow
fiction comedy film co-written, co-produced, starring, and directed by Stephen Chow in his final film acting performance, before he became a fulltime filmmaker
CJ7
Mathematical test proposed by Gregory Chow
The Chow test (Chinese: 鄒檢定), proposed by econometrician Gregory Chow in 1960, is a statistical test of whether the true coefficients in two linear regressions
Chow_test
Narrow building in Vancouver, Canada
The Sam Kee Building (Chinese: 三記號大樓), also known as the Jack Chow Insurance Building, is a two-storey commercial building in Vancouver, British Columbia
Sam_Kee_Building
2001 Hong Kong film by Stephen Chow
(Chinese: 少林足球) is a 2001 Hong Kong sports comedy film directed by Stephen Chow, who also stars in the lead role. The film revolves around a former Shaolin
Shaolin_Soccer
Warren Chow (c. 1992) is a Chinese Canadian chef and executive chef of Wildlight Kitchen + Bar. In 2023, Chow became the first chef to win Michelin Guide
Warren_Chow
Ronald Chow Mei-tak (Chinese: 周美德; born 1951) was the member of the Legislative Council of Hong Kong for Health functional constituency. Chow graduated
Ronald_Chow
American artistic gymnast
Amy Yuen Yee Chow (Chinese: 周 婉 儀; pinyin: Zhōu Wǎnyí; Jyutping: Zau1 Jyun2 Ji4; born May 15, 1978) is an American former artistic gymnast who competed
Amy_Chow
Theorem in geometry
G_{*}(X)} is the Grothendieck group of coherent sheaves on X, A ∗ ( X ) {\displaystyle A_{*}(X)} is the rational Chow group of X, for each proper morphism
Riemann–Roch-type_theorem
Generative AI chatbot by OpenAI
Archived from the original on January 19, 2023. Retrieved December 18, 2022. Chow, Andrew; Perrigo, Billy (February 16, 2023). "The AI Arms Race Is On. Start
ChatGPT
Musical artist
Maximum Penalty, Echo 3, Pry, and Zero Tolerance. Chow Monstro is the art done by Johny Chow. Chow Monstro art has shared walls with street artists such
Johny_Chow
Concept in geometry
The localized Chern class of this complex is a class in the bivariant Chow group of X ⊂ Y {\displaystyle X\subset Y} defined as follows. Let ξ i {\displaystyle
Localized_Chern_class
Result in algebraic geometry
),} where A d ( X , Q ) {\displaystyle A_{d}(X,\mathbb {Q} )} is the Chow group of cycles on X of dimension d modulo rational equivalence, tensored with
Grothendieck–Riemann–Roch theorem
Grothendieck–Riemann–Roch_theorem
Hong Kong businesswoman and socialite
Rosewood Hotel Group and the executive director of the New World Development. She is also the vice-chairman of Chow Tai Fook Jewellery Group. She was also
Sonia_Cheng
Hong Kong pro-democracy activist (born 1996)
Agnes Chow Ting (Chinese: 周庭; born 3 December 1996) is a Hong Kong political candidate and social activist. She is a former member of the Standing Committee
Agnes_Chow
Set of conjectures in algebraic geometry
S2CID 119687821 de Cataldo, Mark Andrea A.; Migliorini, Luca (2002), "The Chow groups and the motive of the Hilbert scheme of points on a surface", Journal
Standard conjectures on algebraic cycles
Standard_conjectures_on_algebraic_cycles
Australian medical research institute
September 2026, there are 16 research groups at the institute. Chow Group (founded 2023). Led by Dr Renee Chow, this group uses the zebrafish as a model for
Australian Regenerative Medicine Institute
Australian_Regenerative_Medicine_Institute
Subspace defined by a polynomial of degree 2 over a field
{\displaystyle p\neq q} . For a cellular variety, the Chow group of algebraic cycles on X is the free abelian group on the set of cells, as is the integral homology
Quadric_(algebraic_geometry)
Generalisation of a sheaf; a fibered category that admits effective descent
problem. This is the approach taken by many authors. Algebraic stack Chow group of a stack Deligne–Mumford stack Glossary of algebraic geometry Pursuing
Stack_(mathematics)
April 26, 2016 (2016-04-26) Ingredients: Appetizer: Mangalitsa pork burgers, chow mein noodles, tardivo, blood clams Entrée: leg of lamb, blue cheese lollipops
List of Chopped episodes (seasons 21–40)
List_of_Chopped_episodes_(seasons_21–40)
Lucas Chow Wing Keung is the former chief executive officer of MediaCorp and SingTel Mobile. Currently he is the group chief executive officer and managing
Lucas_Chow
2019 Chinese-Hong Kong film by Stephen Chow
directed, written, and produced by Stephen Chow. A Chinese-Hong Kong co-production, it is a spiritual sequel to Chow's 1999 film King of Comedy, featuring a
The_New_King_of_Comedy
American mathematician
with Fabien Morel: Algebraic Cobordism, Springer 2007 Bloch's higher Chow group "Humboldt-Professor Marc Levine folgt dem Ruf nach Essen - Hochschulnachrichten
Marc_Levine_(mathematician)
In algebraic geometry, a point with rational coordinates
MR 0927558 Esnault, Hélène (2003), "Varieties over a finite field with trivial Chow group of 0-cycles have a rational point", Inventiones Mathematicae, 151 (1):
Rational_point
American rock band
since 2015, the group has consisted of lead vocalist Corey Taylor, rhythm guitarist Josh Rand, drummer Roy Mayorga, bassist Johny Chow and lead guitarist
Stone_Sour
Intelligence in machines
is getting real. Beware what comes next". Quartz. Retrieved 20 June 2025. Chow, Andrew R.; Perrigo, Billy (3 June 2025). "Google's New AI Tool Generates
Artificial_intelligence
Election Day". NBC News. September 22, 2026. Retrieved September 23, 2026. Chow, Andrew R. "How Christian Leaders Are Challenging the AI Boom". TIME. Archived
2026_United_States_elections
Head of the Catholic Church since 2025
by praying with Pope". The Daily Telegraph. Retrieved October 23, 2025. Chow, Andrew R. "TIME100 AI 2025: Pope Leo XIV". TIME. Retrieved August 30, 2025
Pope_Leo_XIV
Sporting event delegation
Prince Lokendra Singh Group C Source: FIBA Women's tournament Squad Anumaria Shaju Siya Deodhar Yashneet Kaur Vaishnavi Yadav Group A Source: FIBA Squad
India_at_the_2022_Asian_Games
American killer (born 1998)
Archived from the original on September 8, 2025. Retrieved October 1, 2025. Chow, Denise; Tarrant, Tavleen; Martin, Patrick (December 12, 2024). "On Reddit
Luigi_Mangione
Dutch mathematician (1929–2023)
American mathematician Spencer Bloch. In the 1990s he published on the Chow group. Murre retired as professor in 1994. Murre was elected a member of the
Jaap_Murre
American business executive
Anne Chow is an American businessperson, electrical engineer, and author who formerly served as the CEO of AT&T Business, the first woman to hold this
Anne_Chow
American animal food company
referred to as "Chow"; hence there was "Purina Horse Chow", "Purina Dog Chow", "Purina Cat Chow", "Purina Rabbit Chow", "Purina Pig Chow", and even "Purina
Purina_Mills
"Toast (Live)" Heywood Banks 1990s Novelty Aug 4, 2011 Nov 1, 2011 "Wha-Chow Theme (Feat. ShadyVox)" Psyguy 2010s Novelty Aug 4, 2011 No "Act of War"
List of Rock Band Network songs
List_of_Rock_Band_Network_songs
Most populous city in Canada
Retrieved September 7, 2025. McGoldrick, Hayley (August 10, 2023). "Olivia Chow appoints new city hall chairs and vice-chairs of executive committees". CityNews
Toronto
Hong Kong pro-democracy activist (born 1990)
Alex Chow Yong-kang (Chinese: 周永康; Sidney Lau: Jau1 Wing5 Hong1; born 18 August 1990) is a social activist from Hong Kong and current doctoral candidate
Alex_Chow
All times are local, Japan Standard Time (UTC+9). Source: Groups (H) Host Source: Groups Notes: Iran 8–12 China "The 20th Asian Games (2026/Aichi-Nagoya)
Water polo at the 2026 Asian Games – Men's tournament
Water_polo_at_the_2026_Asian_Games_–_Men's_tournament
49 (Second ed.). ISBN 978-3-540-20364-3. ISSN 0938-0396. Zbl 1079.11002. Arithmetic Chow groups Arithmetic of abelian varieties Abelian variety v t e
Arithmetic_variety
Hong Kong film actress
Doris Chow Lai-yan (Chinese: 周麗欣, born 1 October 1984) is a Hong Kong actress, currently a contract artist at Television Broadcasts Limited (TVB). She
Doris_Chow
Prime Minister of Malaysia (1981–2003, 2018–2020)
p. 50 "Voters endorse Front policies". The Straits Times. 5 August 1986. Chow, Melissa Darlyne (19 April 2018). "There's no separating Langkawi from Dr
Mahathir_Mohamad
Sporting event delegation
group X at the Games. Women's tournament Roster The following is the India roster in the women's basketball tournament of the 2018 Asian Games. Group
India_at_the_2018_Asian_Games
Portrayal of sexual subject matter
Thorsen & Chow 2021, p. 141. Thomson, Thorsen & Chow 2021, p. 140. TheLocal 2019. Denmark 2005. Nygaard 2023. Trøiborg 2020. Thomson, Thorsen & Chow 2021,
Pornography
1977 Hong Kong-Taiwanese film by Ng See-yuen
wall. As General Chow rushes to Liu's aid, the guards arrive and immediately arrest Chow for the murder. En route to the court, a group of soldiers arrives
The_Invincible_Armour
Hong Kong film producer and former actor (born 1948)
Entertainment Group in the 1990s, he has helped establish the careers of various cinematic icons in Hong Kong that include Stephen Chow, Chow Yun-fat, Johnnie
Charles_Heung
convicted murderer and pedophile Peter Cho, chef and restaurateur Peter Sienpin Chow, American electrical engineer Peter Churcher, Australian artist Peter Clarricoats
List of people with given name Peter
List_of_people_with_given_name_Peter
com. 21 January 2026. Retrieved 21 January 2026. "Jackie Chan and Stephen Chow pay tribute to late HK action star Bruce Leung, who died at 77". The Straits
2026_in_film
1987 Hong Kong film by Ringo Lam
Chan Kam-wah, investigating a group of jewelry thieves, is killed by three attackers. Inspector Lau assigns Ko Chow, another undercover officer, to
City_on_Fire_(1987_film)
2004 film by Stephen Chow
martial arts action comedy film directed, produced and co-written by Stephen Chow, who also stars in the leading role, alongside Huang Shengyi, Yuen Wah, Yuen
Kung_Fu_Hustle
travel, tourism, insurance
CHOW GROUP
CHOW GROUP
CHOW GROUP
CHOW GROUP
CHOW GROUP
CHOW GROUP
CHOW GROUP
CHOW GROUP
CHOW GROUP
travel, tourism, insurance