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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
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Why do "large" opens of abelian surfaces have "small" canonical bundle?
Let $A$ be an abelian surface, and let $S$ be a finite set of points. Let $U=A\setminus S$. Note that $U$ is a "large" open of $A$.
Let $B\to A$ be a proper birational surjective morphism with $B$ sm …
2
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Do integral curves on simple abelian surfaces define big line bundles?
Let $A$ be a simple abelian surface over $\mathbb{C}$.
Let $C\subset A$ be an irreducible and reduced one-dimensional closed subscheme. Since $A$ is simple, the normalization of $C$ is of genus at le …