Absolute Hodge and ℓ-adic monodromy

DOI10.1112/S0010437X2200745XzbMath1487.14032arXiv2011.10703OpenAlexW4280555793MaRDI QIDQ5079015

David Urbanik

Publication date: 25 May 2022

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.10703

zbMATH Keywords

Hodge theoryabsolute Hodge classes\(\ell\)-adic monodromy

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

• On the closure of the Hodge locus of positive period dimension
• On the differentiation of De Rham cohomology classes with respect to parameters
• Théorie de Hodge. II. (Hodge theory. II)
• Notes on absolute Hodge classes
• Fundamental Groups and Path Lifting for Algebraic Varieties
• On the De Rham cohomology of algebraic varieties
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