Notes on the Parity Conjecture
Identifieur interne : 000060 ( Main/Exploration ); précédent : 000059; suivant : 000061Notes on the Parity Conjecture
Auteurs : Tim Dokchitser [Royaume-Uni]Source :
- Advanced Courses in Mathematics - CRM Barcelona ; 2013.
Abstract
Abstract: The main purpose of these notes is to prove, in a reasonably self-contained way, that finiteness of the Tate–Shafarevich group implies the parity conjecture for elliptic curves over number fields. Along the way, we review local and global root numbers of elliptic curves and their classification, and we end by discussing some peculiar consequences of the parity conjecture.
Url:
DOI: 10.1007/978-3-0348-0618-3_5
Affiliations:
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