English

Higher Gaussian Maps on K3 surfaces

Algebraic Geometry 2023-07-06 v2

Abstract

We give necessary conditions for the surjectivity of the higher Gaussian maps on a polarized K3 surface. As an application, we show that the higher kk-th Gauss map for a general curve of genus gg (that depends quadratically with kk) is surjective.

Keywords

Cite

@article{arxiv.2112.09101,
  title  = {Higher Gaussian Maps on K3 surfaces},
  author = {Angel David Rios Ortiz},
  journal= {arXiv preprint arXiv:2112.09101},
  year   = {2023}
}

Comments

20 pages; v2: Final version. Accepted for publication in IMRN

R2 v1 2026-06-24T08:20:55.307Z