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Uniformization of Jacobian varieties and deformations of curves. (Uniformisation de variétés de Jacobi et déformations de courbes.) (French) Zbl 0851.14013

Summary: Let \(Z/K\) be a non-singular complete curve over a complete valued field \(K\). The uniformization of the Jacobian variety of \(Z\) is an extension of a principally polarized abelian variety \(A(Z)\), with good reduction, by a torus. Using deformation theory of curves, one shows that \(A(Z)\) is in general not a product of Jacobian varieties.

MSC:

14H40 Jacobians, Prym varieties
12J25 Non-Archimedean valued fields
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References:

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