Log canonical singularities and complete moduli of stable pairs
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
1) Assuming log Minimal Model Conjecture, we give a construction of a complete moduli space of stable log pairs of arbitrary dimension generalizing directly the space M_{g,n} of pointed stable curves. Each stable pair has semi log canonical singularities. 2) We prove that a stable quasiabelian pair, defined by author and I.Nakamura as the limit of abelian varieties with theta divisors, has semi log canonical singularities.
Cite
@article{arxiv.alg-geom/9608013,
title = {Log canonical singularities and complete moduli of stable pairs},
author = {Valery Alexeev},
journal= {arXiv preprint arXiv:alg-geom/9608013},
year = {2008}
}
Comments
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