English

Brill-Noether general curves on Knutsen K3 surfaces

Algebraic Geometry 2012-08-27 v1

Abstract

This article classifies Knutsen K3 surfaces all of whose hyperplane sections are irreducible and reduced. As an application, this gives infinite families of K3 surfaces of Picard number two whose general hyperplane sections are Brill-Noether general curves.

Keywords

Cite

@article{arxiv.1208.4957,
  title  = {Brill-Noether general curves on Knutsen K3 surfaces},
  author = {Maxim Arap and Nicholas Marshburn},
  journal= {arXiv preprint arXiv:1208.4957},
  year   = {2012}
}

Comments

4 pages

R2 v1 2026-06-21T21:54:51.665Z