CORDIS Project
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This project aims to classify and represent abelian varieties over finite fields, focusing on complex cases that lack certain simplifying properties. The research will enhance understanding of these mathematical structures and their applications in cryptography and coding theory.
Some of the most extensively studied objects at the intersection of number theory and algebraic geometry are abelian varieties, which are projective varieties whose points form a group.The main objective of the project is to concretely
represent abelian varieties defined over a finite field and classify them up to isomorphism, together with their polarizations.The main goal has been achieved in previous years by work of the Researcher, Supervisor and collaborators in
several cases, which enjoy t…
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