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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

6 votes
2 answers
1k views

About isogenies of abelian varieties

Why it is true that, over an algebraically closed field, any abelian variety is isogenous to a principally polarized abelian variety?
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  • 103
3 votes
1 answer
308 views

About toric varieties---properties of stabilizers

Let P be a normal variety over an algebraically closed field k, G a torus over k acting on P, assume that the stabilizer of the generic point of P is reduced (resp. connected or both), is it ture then …
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