Rigidity of modular morphisms via Fujita decomposition
Copyright policy )Rigidity of modular morphisms via Fujita decomposition
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.
To appear on "Algebra & Number Theory"
- University of Turin Italy
- University of Rome Tor Vergata Italy
curves, abelian varieties, 14H10, 32G20, FOS: Mathematics, moduli spaces, Families, moduli of curves (algebraic), rigidity of period maps, Fujita decomposition, Period matrices, variation of Hodge structure; degenerations, Algebraic Geometry, Algebraic Geometry (math.AG)
curves, abelian varieties, 14H10, 32G20, FOS: Mathematics, moduli spaces, Families, moduli of curves (algebraic), rigidity of period maps, Fujita decomposition, Period matrices, variation of Hodge structure; degenerations, Algebraic Geometry, Algebraic Geometry (math.AG)
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