Analyticity of the closures of some Hodge theoretic subspaces

Details Analyticity of the closures of some Hodge theoretic subspaces Analyticity of the closures of some Hodge theoretic subspaces

2011-02-17

arxiv.org/abs/1102.3528v1

Mathematics

Algebraic Geometry

Scientific paper

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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