Notes on absolute Hodge classes

2011/01/19 by François Charles, Charles, François, Christian Schnell +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1101.3647

openalex publication_date 2011/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey the theory of absolute Hodge classes. The notes include a full proof of Deligne's theorem on absolute Hodge classes on abelian varieties as well as a discussion of other topics, such as the field of definition of Hodge loci and the Kuga-Satake construction.

Cited by

• Secant sheaves and Weil classes on abelian varieties
• Secant sheaves on abelian n-folds with real multiplication and Weil classes on abelian 2n-folds with complex multiplication

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• Hodge loci and absolute Hodge classes
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