On wormholes in the moduli space of surfaces

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2021-02-03 DOI:10.14231/ag-2022-002

G. Urz'ua, Nicol'as Vilches

引用次数: 7

Abstract

We study a certain wormholing phenomenon that takes place in the Kollár–Shepherd-Barron–Alexeev (KSBA) compactification of the moduli space of surfaces of general type. It occurs because of the appearance of particular extremal P-resolutions in surfaces on the KBSA boundary. We state a general wormhole conjecture, and we prove it for a wide range of cases. At the end, we discuss some topological properties and open questions.

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曲面模空间中的虫洞

我们研究了一般类型表面模量空间的Kollár–Shepherd-Barron–Alexeev（KSBA）紧致化中发生的某种虫洞现象。它的出现是因为在KBSA边界上的表面中出现了特定的极值P分辨率。我们陈述了一个一般的虫洞猜想，并在广泛的情况下证明了它。最后，我们讨论了一些拓扑性质和有待解决的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.