Moduli of log mixed Hodge structures
Kazuya Kato, Chikara Nakayama, Sampei Usui
TL;DR
This paper constructs toroidal compactifications of moduli spaces of log mixed Hodge structures with polarized graded quotients and explores their applications, including the analyticity of certain zero loci.
Contribution
It introduces new toroidal partial compactifications for moduli spaces of log mixed Hodge structures with polarized graded quotients.
Findings
Construction of toroidal partial compactifications.
Application to analyticity of zero loci.
Enhanced understanding of moduli spaces of log mixed Hodge structures.
Abstract
We announce the construction of toroidal partial compactifications of the moduli spaces of mixed Hodge structures with polarized graded quotients. They are moduli spaces of log mixed Hodge structures with polarized graded quotients. We include an application to the analyticity of zero loci of some functions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Analytic Number Theory Research