Lines on K3-quartics via triangular sets
Algebraic Geometry
2025-05-19 v1
Abstract
We prove the sharp upper bound of at most lines on a complex K3-surface of degree four with a non-empty singular locus. We also classify the configurations of more than lines on smooth complex quartics.
Cite
@article{arxiv.2301.04127,
title = {Lines on K3-quartics via triangular sets},
author = {Alex Degtyarev and Sławomir Rams},
journal= {arXiv preprint arXiv:2301.04127},
year = {2025}
}
Comments
22 pages, extra data available as ancillary files