On the Singularities of Degenerate Abelian Varieties

2014/01/02 by Joseph Tenini, Tenini, Joseph · 1 citation
Mathematics · Computer Science · #Advanced Topology and Set Theory #semigroups and automata theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1401.0516

Abstract

In 2002, Alexeev provided a modular interpretation for the toroidal compactification of A_g for the 2nd Voronoi fan. In this paper we show that pairs (X,Θ) in the boundary of this moduli space are semi-log canonical, the analog of log canonical in the non-normal setting. This extends the result of Kollár stating that principally polarized abelian pairs (X,Θ) are log canonical.

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• Tropical Geometric Compactification of Moduli, II - A_g case and holomorphic limits -

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