CORDIS Project
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This project focuses on developing explicit methods for computing rational points on curves and their Jacobians, aiming to advance the understanding of the Birch and Swinnerton-Dyer conjecture. It involves creating a theory of heights for non-hyperelliptic curves and enhancing the quadratic Chabauty method for broader…
The theory of rational points on curves and their Jacobians is distinguished by being both attractive and notoriously difficult.
Despite major theoretical advances, explicit methods are of particular importance in this area.
For instance, the conjecture of Birch and Swinnerton-Dyer (BSD), one of the Millennium Prize problems, was formulated based on numerical evidence. A proof of the strong version of this conjecture for abelian varieties seems out of reach at present, and even the verification…
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Netherlands, Leiden
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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