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Results tagged with abelian-varieties
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user 1729
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.
24
votes
In which ways can the isogeny theorem fail for local fields?
I think the statement can fail in the case of elliptic curves of good reduction even when $l = p$. But then your comment on
Serre-Tate theory confused me for a little while! (A discussion with Jared W …
- 1,388