English

On the first Gaussian map for Prym-canonical line bundles

Algebraic Geometry 2013-06-26 v2

Abstract

We prove by degeneration to Prym-canonical binary curves that the first Gaussian map of the Prym canonical line bundle ωCA\omega_C \otimes A is surjective for the general point [C,A] of R_g if g >11, while it is injective if g < 12.

Cite

@article{arxiv.1210.7598,
  title  = {On the first Gaussian map for Prym-canonical line bundles},
  author = {Caterina Barchielli and Paola Frediani},
  journal= {arXiv preprint arXiv:1210.7598},
  year   = {2013}
}

Comments

To appear in Geometriae Dedicata. arXiv admin note: text overlap with arXiv:1105.4472