Moduli of logarithmic abelian varieties with PEL structure
Takeshi Kajiwara, Kazuya Kato, and Chikara Nakayama
TL;DR
This paper constructs a detailed moduli space for log abelian varieties with PEL structure, providing a toroidal compactification of the classical moduli space of abelian varieties with PEL structure.
Contribution
It introduces a new fine moduli space for log abelian varieties with PEL structure, advancing the understanding of their compactifications.
Findings
Construction of the fine moduli space for log abelian varieties with PEL structure
Development of a toroidal compactification of the moduli space
Enhanced framework for studying abelian varieties with additional structure
Abstract
We construct the fine moduli space of log abelian varieties with PEL structure, which gives a toroidal compactification of the moduli space of abelian varieties with PEL structure.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems