Rendiconti Lincei, Matematica e Applicazioni
Abstract
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Polynomial and algebraic computation
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Rendiconti Lincei Matematica e Applicazioni
- Publisher
- European Mathematical Society - EMS - Publishing House GmbH
- Publication date
- 1 July 2026
- Language
- IT