Rigidity of modular morphisms via Fujita decomposition

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Original languageEnglish
Publication statusE-pub ahead of print - 15 Sept 2024

Abstract

In this note we prove that the Torelli, Prym and Spin-Torelli morphisms, as well as covering maps between moduli stacks of projective curves can not be deformed. The proofs use properties of the Fujita decomposition of the Hodge bundle of families of curves.

Keywords

    math.AG, 14H10, 32G20

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Rigidity of modular morphisms via Fujita decomposition. / Codogni, Giulio; González-Alonso, Víctor; Torelli, Sara.
2024.

Research output: Working paper/PreprintPreprint

Codogni, G., González-Alonso, V., & Torelli, S. (2024). Rigidity of modular morphisms via Fujita decomposition. Advance online publication.
Codogni G, González-Alonso V, Torelli S. Rigidity of modular morphisms via Fujita decomposition. 2024 Sept 15. Epub 2024 Sept 15.
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