Bloch’s conjecture on Chow groups

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Bloch’s conjecture on Chow groups is a deep statement in algebraic geometry predicting that certain Chow groups of zero-cycles on smooth projective surfaces with vanishing geometric genus are as small as possible, closely linking algebraic cycles to the Hodge and motive-theoretic structure of the variety.

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Beilinson conjectures relatedTo Bloch’s conjecture on Chow groups
Spencer Bloch notableFor Bloch’s conjecture on algebraic cycles
linked to: Bloch’s conjecture on Chow groups
Spencer Bloch hasConceptNamedAfter Bloch’s conjecture
linked to: Bloch’s conjecture on Chow groups
Chow groups relatedConcept Bloch–Beilinson conjectures
linked to: Bloch’s conjecture on Chow groups