稳定超曲线的模空间及其正则线束

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2023-11-29 DOI:10.1353/ajm.2023.a913296

Giovanni Felder, David Kazhdan, Alexander Polishchuk

引用次数: 10

摘要

摘要:我们证明了具有穿孔的稳定超曲线的模是光滑的适当DM堆，并研究了其正则线束的Mumford同构的类比。

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The moduli space of stable supercurves and its canonical line bundle

Abstract:

We prove that the moduli of stable supercurves with punctures is a smooth proper DM stack and study an analog of the Mumford's isomorphism for its canonical line bundle.

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.