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Results tagged with abelian-varieties
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user 23778
Abelian varieties are projective algebraic varieties endowed with an Abelian group structure. Over the complex numbers, they can be described as quotients of a vector space by a lattice of full rank. They are analogs in higher dimensions of elliptic curves, and play an important role in algebraic geometry and number theory.
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Quotients of Tate modules
Thank you for your answers.
After thinking some time about it, it seems that such a map as in my comment above cannot even exist in the case where $A$ has super singular reduction.
If there were a s …
- 41
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Quotients of Tate modules
Let $p$ be a prime number, let $K$ denote a finite extension $\mathbb{Q}_{p}$ and let
$\overline{K}$ be an algebraic closure of $K$. Let $A$ be an ellitpic curve over
$K$ and denote by $T_{p}A$ its Ta …
- 41