Smoothing semi-smooth stable Godeaux surfaces

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2021-05-03 DOI:10.14231/ag-2022-015

B. Fantechi, M. Franciosi, R. Pardini

引用次数: 2

Abstract

We show that all the semi-smooth stable complex Godeaux surfaces, classified in [FPR18a], are smoothable, and that the moduli stack is smooth of the expected dimension 8 at the corresponding points. 2020 Mathematics Subject Classification: 14J10, 14D15, 14J29.

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平滑半光滑稳定的Godeaux曲面

我们证明了分类在[FPR18a]中的所有半光滑稳定的复Godeaux曲面都是可光滑的，并且模量堆栈在相应点处是期望维度8的光滑的。2020数学学科分类：14J10、14D15、14J29。

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.