Models of Curves
Identifieur interne : 000038 ( Istex/Checkpoint ); précédent : 000037; suivant : 000039Models of Curves
Auteurs : Matthieu Romagny [France]Source :
- Progress in Mathematics ; 2013.
Abstract
Abstract: The main aim of these lectures is to present the stable reduction theorem with the point of view of Deligne and Mumford. We introduce the basic material needed to manipulate models of curves, including intersection theory on regular arithmetic surfaces, blow-ups and blow-downs, and the structure of the jacobian of a singular curve. The proof of stable reduction in characteristic 0 is given, while the proof in the general case is explained and important parts are proved. We give applications to the moduli of curves and covers of curves.
Url:
DOI: 10.1007/978-3-0348-0487-5_2
Affiliations:
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