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Results tagged with abelian-varieties
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user 56856
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.
5
votes
Accepted
Does an abelian variety $A$ have a model over a finite field if its $p$-divisible group $A[p...
The answer is no. Let $Y_1(N)$ be the modular curve over $\mathbb{F}_p$ of level $\Gamma_1(N)$ with $N \ge 4$ and coprime to $p$. This is a fine moduli space of elliptic curves with level structure wi …
- 492
9
votes
1
answer
715
views
A question about $p$-adic monodromy of abelian varieties
Let $S_0$ be a smooth (projective?) and (geometrically) connected scheme over a finite field of characteristic $p$ and let $S$ be its base change to an algebraic closure of the finite field. Let $\pi: …
- 492