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arXiv · 1102.3528

Analyticity of the closures of some Hodge theoretic subspaces

Kazuya Kato·Chikara Nakayama·Sampei Usui
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Abstract

In this paper, we prove a general theorem concerning the analyticity of the closure of a subspace defined by a family of variations of mixed Hodge structures, which includes the analyticity of the zero loci of degenerating normal functions. For the proof, we use a moduli of the valuative version of log mixed Hodge structures.

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Kazuya Kato, Chikara Nakayama, Sampei Usui. 2011-02-17. Analyticity of the closures of some Hodge theoretic subspaces. https://arxiv.org/abs/1102.3528

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