English

K3 projective models in scrolls

Algebraic Geometry 2007-05-23 v2

Abstract

We study the projective models of complex K3 surfaces polarized by a line bundle L such that all smooth curves in |L| have non-general Clifford index. Such models are in a natural way contained in rational normal scrolls. We use this study to classify and describe all projective models of K3 surfaces of genus at most 10.

Keywords

Cite

@article{arxiv.math/0108183,
  title  = {K3 projective models in scrolls},
  author = {Trygve Johnsen and Andreas Leopold Knutsen},
  journal= {arXiv preprint arXiv:math/0108183},
  year   = {2007}
}

Comments

This is a shorter version of (most of) SLN 1842