On the closure of the positive Hodge locus

2019/01/28 by Bruno Klingler, Klingler, Bruno, Anna Otwinowska +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1901.10003

Abstract

Given a variation of Hodge structures on a quasi-projective base S, whose generic Mumford-Tate group is non-product, we prove that the (countable) union of positive components of the Hodge locus is either an algebraic subvariety of S, or is Zariski-dense in S.

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