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Weil classes and decomposable abelian fourfolds

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Publication:2106525
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DOI10.3842/SIGMA.2022.097MaRDI QIDQ2106525

Bert van Geemen

Publication date: 16 December 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02087


zbMATH Keywords

abelian varietiesHodge conjectureHodge classes


Mathematics Subject Classification ID

Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)


Related Items (1)

Fourfolds of Weil type and the spinor map




Cites Work

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  • Quaternionic Pryms and Hodge classes
  • Hodge classes and Tate classes on simple abelian fourfolds
  • Theta functions and cycles on some abelian fourfolds
  • Hodge classes on abelian varieties of low dimension
  • On Schoen surfaces
  • Prime exceptional divisors on holomorphic symplectic varieties and monodromy reflections
  • A FAMILY OF SURFACES CONSTRUCTED FROM GENUS 2 CURVES
  • Algebraicity of some Weil Hodge Classes
  • Compact Tori Associated to Hyperkähler Manifolds of Kummer Type
  • Explicit Schoen surfaces




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