We show the stability of certain syzygies of line bundles on curves, which we call line bundle transforms. Furthermore, we prove the existence of reducible theta divisors for the transforms having integral slope. A line bundle transform is the kernel of the evaluation map on a subspace of the space of global sections.
Stability of line bundles transforms on curves with respect to low codimensional subspaces
MISTRETTA, ERNESTO CARLO
2008
Abstract
We show the stability of certain syzygies of line bundles on curves, which we call line bundle transforms. Furthermore, we prove the existence of reducible theta divisors for the transforms having integral slope. A line bundle transform is the kernel of the evaluation map on a subspace of the space of global sections.
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