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

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 …
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  • 513
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{ …
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  • 513