Compactified Jacobians of Neron type

作者：Caporaso Lucia^*

来源：Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 2012, 23(2): 213-227.

DOI：10.4171/RLM/625

• Stable curve
• Picard scheme
• Neron model
• compactification
• balanced line bundle

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

• 出版日期2012