On algebraic isomorphisms of cohomology of a compactification of the Néron model with multiplications from an imaginary quadratic field
From MaRDI portal
Publication:2667889
DOI10.33048/semi.2022.19.004zbMath1481.14017OpenAlexW4221047315WikidataQ114037229 ScholiaQ114037229MaRDI QIDQ2667889
Publication date: 2 March 2022
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.33048/semi.2022.19.004
abelian varietyNéron minimal modelGrothendieck standard conjecture of Lefschetz typeKunnemann compactication
(3)-folds (14J30) Classical real and complex (co)homology in algebraic geometry (14F25) Algebraic cycles (14C25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Motivation for Hodge cycles
- Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
- Degeneration of Kähler manifolds
- Remarks on the Lefschetz standard conjecture and hyperkähler varieties
- Projective regular models for abelian varieties, semistable reduction, and the height pairing
- Height pairings for algebraic cycles on abelian varieties
- On the standard conjecture of Lefschetz type for complex projective threefolds. II
- Cycles on Abelian varieties and exceptional numbers
- Weil classes on abelian varieties
- A Survey of the Hodge Conjecture
- On an inductive approach to the standard conjecture for a fibred complex variety with strong semistable degeneracies
- On the standard conjecture for complex Abelian schemes over smooth projective curves
- The standard conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes ofK3 surfaces
- On the standard conjecture for a fibre product of three elliptic surfaces with pairwise-disjoint discriminant loci
- On the standard conjecture for a -dimensional variety fibred by curves with a non-injective Kodaira–Spencer map
- On the standard conjecture and the existence of a Chow-Lefschetz decomposition for complex projective varieties
- Monoidal transformations and conjectures on algebraic cycles
- On the numerical equivalence of algebraic cycles on potentially simple Abelian schemes of prime relative dimension
- Numerical and Homological Equivalence of Algebraic Cycles on Hodge Manifolds