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arXiv · 1901.10003

On the closure of the positive Hodge locus

Bruno Klingler·Anna Otwinowska
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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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Bruno Klingler, Anna Otwinowska. 2019-01-28. On the closure of the positive Hodge locus. https://arxiv.org/abs/1901.10003

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