CORDIS Project
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This project aims to deepen the understanding of endomorphism rings of abelian varieties, which are crucial in number theory and algebraic geometry. It will develop algorithms, create a database, and improve methods related to these mathematical structures, fostering collaboration between researchers in Europe and the…
The subject of abelian varieties is of central importance in number theory and algebraic geometry.
In this proposal, we aim for a deeper understanding of endomorphism rings of abelian varieties (these classify the 'symmetries' of the abelian varieties).
We will tackle the following four problems: (i) Give algorithms for computing endomorphism rings of abelian varieties ( specified as Jacobians of curves or as modular abelian varieties). (ii) Give a database of abelian varieties and their endomor…
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