About: Chow variety

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In mathematics, particularly in the field of algebraic geometry, a Chow variety is an algebraic variety whose points correspond to effective algebraic cycles of fixed dimension and degree on a given projective space. More precisely, the Chow variety is the fine moduli variety parametrizing all effective algebraic cycles of dimension and degree in .

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rdfs:label	Chow variety (en)
rdfs:comment	In mathematics, particularly in the field of algebraic geometry, a Chow variety is an algebraic variety whose points correspond to effective algebraic cycles of fixed dimension and degree on a given projective space. More precisely, the Chow variety is the fine moduli variety parametrizing all effective algebraic cycles of dimension and degree in . (en)
dcterms:subject	Algebraic geometry
Wikipage page ID	2522243 (xsd:integer)
Wikipage revision ID	1060695818 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Projective space Projective subspace Algebraic cycle Mathematics Grassmannian Mathematische Annalen Wei-Liang Chow GIT quotient Algebraic geometry Algebraic variety Hilbert scheme Algebraic geometry Birkhäuser Symmetric power Homogeneous coordinates Homogeneous polynomial Moduli space Plücker embedding Algebraic cycles Scheme (mathematics) Stable curve Plücker coordinates Subvariety Springer-Verlag Fine moduli scheme Chow groups Picard variety Moduli problem Moduli space of curves Homogeneous ideal dbr:Generic_orbit
Link from a Wikipage to an external page	https://web.math.princeton.edu/~kollar/
sameAs	Chow variety Chow variety
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Bulleted_list dbt:Citation dbt:Cite_book dbt:For dbt:Reflist
first	Val.S. (en)
id	C/c022180 (en)
last	Kulikov (en)
title	Chow variety (en)
has abstract	In mathematics, particularly in the field of algebraic geometry, a Chow variety is an algebraic variety whose points correspond to effective algebraic cycles of fixed dimension and degree on a given projective space. More precisely, the Chow variety is the fine moduli variety parametrizing all effective algebraic cycles of dimension and degree in . The Chow variety may be constructed via a Chow embedding into a sufficiently large projective space. This is a direct generalization of the construction of a Grassmannian variety via the Plücker embedding, as Grassmannians are the case of Chow varieties. Chow varieties are distinct from Chow groups, which are the abelian group of all algebraic cycles on a variety (not necessarily projective space) up to rational equivalence. Both are named for Wei-Liang Chow(周煒良), a pioneer in the study of algebraic cycles. (en)
prov:wasDerivedFrom	wikipedia-en:Chow_variety?oldid=1060695818&ns=0
page length (characters) of wiki page	13444 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Chow_variety
is Link from a Wikipage to another Wikipage of	Chow coordinates Picard group Projective variety Hilbert scheme Arthur Cayley Chow form Chow point Chow quotient Chow scheme
is Wikipage redirect of	Chow coordinates Chow form Chow point Chow quotient Chow scheme
is foaf:primaryTopic of	wikipedia-en:Chow_variety

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