Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties
From MaRDI portal
Publication:5003289
DOI10.2422/2036-2145.201811_010zbMath1486.14014arXiv1803.00857OpenAlexW3101895608WikidataQ123264220 ScholiaQ123264220MaRDI QIDQ5003289
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Chow group of zero-cycles of a generalized Kummer variety
- Some desultory remarks concerning algebraic cycles and Calabi-Yau threefolds
- Tate twists of Hodge structures arising from abelian varieties of type IV
- Motivic hyper-Kähler resolution conjecture. I: Generalized Kummer varieties
- Chow groups are finite dimensional, in some sense
- Variétés kähleriennes dont la première classe de Chern est nulle
- C is not algebraically equivalent to \(C^-\) in its Jacobian
- Exceptional Hodge classes on certain abelian varieties
- Sur l'anneau de Chow d'une variété abélienne
- The motif of an Abelian variety
- For an unconditional theory of motives
- Corrigendum to: ``On the Chow group of zero-cycles of a generalized Kummer variety
- The dual polarization of an abelian variety
- On the general Hodge conjecture for abelian varieties of CM-type
- Symplectic involutions of \(K3\) surfaces act trivially on \(\mathrm{CH}_0\)
- Symplectic automorphisms of \(K3\) surfaces of arbitrary finite order
- Hodge classes on abelian varieties of low dimension
- Lefschetz classes on abelian varieties
- Decomposition of abelian motives
- The generalized Franchetta conjecture for some hyper-Kähler varieties
- Cycles on the generic abelian threefold
- The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties
- On the action of symplectic automorphisms on the \(\mathrm{CH}_0\)-groups of some hyper-Kähler fourfolds
- Some results on a conjecture of Voisin for surfaces of geometric genus one
- Bloch's conjecture for Catanese and Barlow surfaces
- On analytic families of polarized abelian varieties and automorphic functions
- Action of correspondences on filtrations on cohomology and 0-cycles of abelian varieties
- On the Chow motive of an abelian scheme with non-trivial endomorphisms
- Algebraic cycles on an abelian variety
- Remarks on Correspondences and Algebraic Cycles
- Hodge Classes on Certain Types of Abelian Varieties
- Geometric Invariant Theory
- Algebraic Cycles on a Generalized Kummer Variety
- Filtrations on algebraic cycles and homology
- Niveau and coniveau filtrations on cohomology groups and Chow groups
- DISTINGUISHED MODELS OF INTERMEDIATE JACOBIANS
- Distinguished cycles on varieties with motive of abelian type and the Section Property
- The Fourier Transform for Certain HyperKähler Fourfolds
- Chow Rings, Decomposition of the Diagonal, and the Topology of Families
- VECTOR-VALUED DUALITY FOR MODULES OVER BANACH ALGEBRAS
This page was built for publication: Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties