By studying the innitesimal variations of the Hodge structure and a generalization of the classical Babbage{Enriques{Petri theorem, we prove that the Jacobian variety of a generic element of a codimension k subvariety of Mg is not isogenous to dierent Jacobian if g > 3k + 4. We extend this result to k = 1, g > 5 by using degeneration methods. 1

Isogenies of Jacobians

PIROLA, GIAN PIETRO
2016-01-01

Abstract

By studying the innitesimal variations of the Hodge structure and a generalization of the classical Babbage{Enriques{Petri theorem, we prove that the Jacobian variety of a generic element of a codimension k subvariety of Mg is not isogenous to dierent Jacobian if g > 3k + 4. We extend this result to k = 1, g > 5 by using degeneration methods. 1
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1174602
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