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Analyticity of the closures of some Hodge theoretic subspaces

By Kazuya Kato, Chikara Nakayama and Sampei Usui


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

Topics: Mathematics - Algebraic Geometry
Year: 2011
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