Compactified Jacobians of Néron type

Details Compactified Jacobians of Néron type Compactified Jacobians of Néron type

2010-02-23

arxiv.org/abs/1002.4350v2

Rend.Lincei Mat. Appl. 21 (2010) 1-15

Mathematics

Algebraic Geometry

Published version. Minor corrections

Scientific paper

10.4171/RLM

We characterize stable curves $X$ whose compactified degree-$d$ Jacobian is of N\'eron type. This means the following: for any one-parameter regular smoothing of $X$, the special fiber of the N\'eron model of the Jacobian of the generic fiber is isomorphic to a dense open subset of the degree-$d$ compactified Jacobian. It is well known that compactified Jacobians of N\'eron type have the best modular properties, and that they are endowed with a mapping property useful for applications.

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