CRM lectures on curves and Jacobians over function fields
Number Theory
2012-10-30 v2 Algebraic Geometry
Abstract
These are notes related to a 12-hour course of lectures given at the Centre de Recerca Mathem\`atica near Barcelona in February, 2010. The aim of the course was to explain results on curves and their Jacobians over function fields, with emphasis on the group of rational points of the Jacobian, and to explain various constructions of Jacobians with large Mordell-Weil rank. They may be viewed as a continuation of my Park City notes (arXiv:1101.1939). In those notes, the focus was on elliptic curves and finite constant fields, whereas here we discuss curves of higher genera and results over more general base fields.
Keywords
Cite
@article{arxiv.1203.5573,
title = {CRM lectures on curves and Jacobians over function fields},
author = {Douglas Ulmer},
journal= {arXiv preprint arXiv:1203.5573},
year = {2012}
}
Comments
v2: small corrections and additions. To appear in "Advanced Courses at the CRM" by Birkhaeuser