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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

4 votes

Obstruction and 1st order infinitesimal deformations of Generalized Elliptic Curves (Deligne...

Concerning #1, the twist on the sheaf is keeping track of the deformation of the identity section. Concerning #2, in the residually reducible case a deformation of the underlying pointed curve need …
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