Analyticity of the closures of some Hodge theoretic subspaces
Algebraic Geometry
2011-02-18 v1
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.
Keywords
Cite
@article{arxiv.1102.3528,
title = {Analyticity of the closures of some Hodge theoretic subspaces},
author = {Kazuya Kato and Chikara Nakayama and Sampei Usui},
journal= {arXiv preprint arXiv:1102.3528},
year = {2011}
}