通过Fujita分解的模态射的刚性

IF 1 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2025-07-21 DOI:10.2140/ant.2025.19.1671

Giulio Codogni, Víctor González Alonso, Sara Torelli

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引用次数: 0

摘要

我们证明了Torelli， Prym和自旋-Torelli态射，以及光滑投影曲线模堆之间的覆盖映射，是不能变形的。这些证明使用了曲线族的Hodge束的Fujita分解的性质。

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Rigidity of modular morphisms via Fujita decomposition

We prove that the Torelli, Prym and spin-Torelli morphisms, as well as covering maps between moduli stacks of smooth projective curves, cannot be deformed. The proofs use properties of the Fujita decomposition of the Hodge bundle of families of curves.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.