Stability of line bundle transforms on curves with respect to low codimensional subspaces
Stability of line bundle transforms on curves with respect to low codimensional subspaces
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 …