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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
4
votes
2
answers
344
views
The diagonal of the Weil restriction
Let $Y\to X$ be a finite surjective morphism of smooth projective geometrically connected varieties over $\mathbb{Q}$. Let $k$ be a number field and consider the induced morphism
$$f:Res_{k/\mathbb{ …
11
votes
0
answers
416
views
Good reduction of finite etale covers of abelian varieties
Let $R$ be a dvr (whose residue characteristic is zero if it helps) with fraction field $K$.
Let $A$ be an abelian variety over $K$ with good reduction over $R$. Let $X\to A$ be a finite etale morphis …