Résumé

Around 1970, torsion points on elliptic curves were studied by using the relation between topological and algebraic structures of their moduli spaces, spaces which parametrize elliptic curves together with torsion points. In this project, we replace elliptic curves with K3 surfaces, which can be considered higher-dimensional analogues of elliptic curves. The torsion points are replaced by the torsion part of the Brauer group of the K3 surface, a group which plays an important role in the study of rational points. This is joint work in progress with A. Várilly-Alvarado and D. Bragg.

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