Algebraic cycles

GPTKB entity

Statements (39)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appearsIn gptkb:Algebraic_cobordism
gptkb:Chow_ring
Cycle class map
Motives
gptkbp:category Algebraic cycles modulo equivalence relations
gptkbp:definedIn Formal finite sum of subvarieties of a fixed algebraic variety
gptkbp:degree Degree of cycle
gptkbp:dimensions Dimension of subvarieties
gptkbp:field gptkb:Algebraic_geometry
gptkbp:generalizes gptkb:One-cycle
gptkb:Cartier_divisor
Weil divisor
Divisor
Zero-cycle
gptkbp:groupStructure Abelian group
gptkbp:hasCodimension Codimension of subvarieties
https://www.w3.org/2000/01/rdf-schema#label Algebraic cycles
gptkbp:modulo Algebraic equivalence
Homological equivalence
Numerical equivalence
Rational equivalence
gptkbp:relatedTo gptkb:algebraic_geometry
gptkb:Chow_motive
gptkb:Chow_group
gptkb:Intersection_theory
Algebraic cycle class
Algebraic cycle group
Algebraic cycle theory
Cycle map
gptkbp:studiedBy gptkb:William_Fulton
gptkb:Alexander_Grothendieck
gptkb:Spencer_Bloch
gptkbp:usedIn gptkb:Algebraic_K-theory
gptkb:Bloch–Beilinson_conjecture
gptkb:Hodge_conjecture
gptkb:Motivic_cohomology
gptkbp:bfsParent gptkb:K-theory
gptkbp:bfsLayer 5