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Journal of the London Mathematical Society Advance Access originally published online on May 3, 2008
Journal of the London Mathematical Society 2008 78(1):172-182; doi:10.1112/jlms/jdn016
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© 2008 London Mathematical Society

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

Ernesto C. Mistretta

Équipe de Topologie et Géométrie Algébriques
Institut de Mathématiques de Jussieu
175, rue de Chevaleret
75013 Paris
France

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.

2000 Mathematics Subject Classification 14H60, 14F05, 14K25.

Received March 21, 2007; revised January 31, 2008; published online May 3, 2008.


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