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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
1
answer
250
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Can we control the size of the intersection of two abelian subfactors of an abelian variety ?
Let $A$ be an abelian variety over an algebraically closed field $K$, and $B$ an abelian subvariety. We know (for instance, from Milne course on AV) that there is an abelian "cofactor" $B'\subset A$ s …
0
votes
1
answer
216
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Is the stabilizer of an irreducible subvariety of an abelian variety irreducible ?
Let $A$ be a (semi-)abelian variety over an algebraically closed field $K$, and $X$ be a closed irreducible subvariety. Can $X$ have a non-trivial finite stabilizer ? By stabilizer, I mean the closed …
3
votes
0
answers
178
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Are torsion points in a semi-abelian variety over $\mathbb C_p$ bounded?
Let $A$ be a semi-abelian variety defined over (a subfield of) $\mathbb C_p$. Consider its $p$-adic topology with some (non-canonical) metric. Can we bound the distance of torsion points to $0$ with r …