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

Details Stability of line bundles transforms on curves with respect to low codimensional subspaces Stability of line bundles transforms on curves with respect to low codimensional subspaces

2007-03-15

arxiv.org/abs/math/0703465v1

Mathematics

Algebraic Geometry

Latex, 13 pages

Scientific paper

We show the stability of certain syzygies of line bundles on curves, which we
call transforms, and are kernels of the evaluation map on subspaces of the
space of global sections. For the transforms constructed, we prove the
existence of reducible theta divisors, in the cases where the slope is integer.

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