English

Some results on the second Gaussian map for curves

Algebraic Geometry 2008-05-23 v1

Abstract

We study the second Gaussian map for a curve X of genus g, in relation with the second fundamental form of the period map. We exhibit a class of infinitely many curves with surjective second Gaussian map. We compute its rank on the hyperelliptic and trigonal locus and show global generation of its image for X not hyperelliptic nor trigonal.

Keywords

Cite

@article{arxiv.0805.3422,
  title  = {Some results on the second Gaussian map for curves},
  author = {Elisabetta Colombo and Paola Frediani},
  journal= {arXiv preprint arXiv:0805.3422},
  year   = {2008}
}
R2 v1 2026-06-21T10:43:09.475Z