# name
On the mordell - Weil rank of hyperelliptic curves

# metadata.dc.description[].value
Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Any: 2026.  Director: Marc Masdeu Sabaté

# metadata.dc.description.abstract[].value
The Jacobian of an algebraic curve C defned over a number feld K is an abelian variety whose group of K-rational points has finite rank, by the Mordell-Weil theorem. We study the proof of this theorem and the problem of computing the rank. We give some bounds on this rank in a certain family of curves by studying the Selmer group, which is a cohomological device that can be explicitly computed.

# metadata.dc.rights[].value
cc by-nc-nd (c) Mata Carmona, Guillem, 2026

# metadata.dc.title[].value
On the mordell - Weil rank of hyperelliptic curves