◍wovepaper
SearchResearchersInstitutions
Sign in
math.AGAug 1, 2001
34
citations (OpenAlex)
authors
  • Trygve Johnsen
  • Andreas Leopold Knutsen
institutions
  • Max Planck Institute for Mathematics
  • Max Planck Society
arXiv abstractPDF
paper

K3 projective models in scrolls

arXiv:math/0108183

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.

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

Cited by in corpus (10)

  • Gushel--Mukai varieties: classification and birationalities
  • Smooth, isolated curves in families of Calabi-Yau threefolds in homogeneous spaces
  • Seshadri constants of K3 surfaces of degrees 6 and 8
  • Brill-Noether special cubic fourfolds of discriminant 14
  • A sharp vanishing theorem for line bundles on K3 or Enriques surfaces
  • 15-nodal quartic surfaces.I: quintic del Pezzo surfaces and congruences of lines in $\bbP^3$
  • Slope semistability of rank 2 Lazarsfeld-Mukai bundles on K3 surfaces and ACM line bundles
  • Singular curves on a K3 surface and linear series on their normalizations
  • Cox rings of K3 surfaces with Picard number two
  • On two conjectures for curves on K3 surfaces
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.