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.
Codogni, G., Gonzalez Alonso, V., Torelli, S. (2025). Rigidity of modular morphisms via Fujita decomposition. ALGEBRA & NUMBER THEORY, 19(9), 1671-1683 [10.2140/ant.2025.19.1671].
Rigidity of modular morphisms via Fujita decomposition
Codogni G.;
2025-01-01
Abstract
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.File in questo prodotto:
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