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

2 votes
0 answers
98 views

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 …
Gonal_curve's user avatar
2 votes
0 answers
116 views

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 …
Gonal_curve's user avatar