Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties

DOI10.2422/2036-2145.201811_010zbMath1486.14014arXiv1803.00857OpenAlexW3101895608WikidataQ123264220 ScholiaQ123264220MaRDI QIDQ5003289

Charles Vial

Publication date: 21 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00857

zbMATH Keywords

abelian varietiesChow groupsHodge conjectureBloch conjecture

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (7)

Motives and the Pfaffian–Grassmannian equivalence ⋮ On the birational motive of hyper-Kähler varieties ⋮ On the motive of codimension 2 linear sections of \(\operatorname{Gr}(3,6)\) ⋮ On the Chow ring of some special Calabi–Yau varieties ⋮ Zero-cycles on Cancian-Frapporti surfaces ⋮ Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture ⋮ Zero-cycles on double EPW sextics

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