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arXiv · 1504.07507

The congruent number problem and the Birch-Swinnerton-Dyer conjecture

Agostino Prástaro
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Abstract

By introducing a new point of view in Algebraic Topology relating elliptic curves in $\mathbb{R}^2$ and suitable bordism groups, the congruent number problem is solved showing that the Tunnell's theorem is also sufficient. This could be considered also an indirect proof that the Birch Swinnerton-Dyer conjecture is true.

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Agostino Prástaro. 2015-04-27. The congruent number problem and the Birch-Swinnerton-Dyer conjecture. https://arxiv.org/abs/1504.07507

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