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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2268035
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 13
social impact