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Rigidity of modular morphisms via Fujita decomposition
- Publication Year :
- 2023
-
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.<br />Comment: To appear on "Algebra & Number Theory"
- Subjects :
- Mathematics - Algebraic Geometry
14H10, 32G20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.04525
- Document Type :
- Working Paper