On the finiteness of log surfaces

Fuente: arXiv
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Autor principal: Serebrennikov, Daniil
Formato: Preprint
Publicado: 2025
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author Serebrennikov, Daniil
author_facet Serebrennikov, Daniil
contents We prove that a log surface has only finitely many weakly log canonical projective models with klt singularities up to log isomorphism, by reducing the problem to the boundedness of their polarization.
format Preprint
id arxiv_https___arxiv_org_abs_2510_14795
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the finiteness of log surfaces
Serebrennikov, Daniil
Algebraic Geometry
We prove that a log surface has only finitely many weakly log canonical projective models with klt singularities up to log isomorphism, by reducing the problem to the boundedness of their polarization.
title On the finiteness of log surfaces
topic Algebraic Geometry
url https://arxiv.org/abs/2510.14795