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Curves and Jacobians over Function Fields

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Arithmetic Geometry over Global Function Fields

Part of the book series: Advanced Courses in Mathematics - CRM Barcelona ((ACMBIRK))

Abstract

These notes originated in a 12-hour course of lectures given at the Centre de Recerca Matem`atica 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.

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Ulmer, D. (2014). Curves and Jacobians over Function Fields. In: Bars, F., Longhi, I., Trihan, F. (eds) Arithmetic Geometry over Global Function Fields. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0853-8_5

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