Lines on quartic surfaces
Algebraic Geometry
2017-06-20 v1
Abstract
We show that the maximal number of (real) lines in a (real) nonsingular spatial quartic surface is 64 (respectively, 56). We also give a complete projective classification of all quartics containing more than 52 lines: all such quartics are projectively rigid. Any value not exceeding 52 can appear as the number of lines of an appropriate quartic.
Cite
@article{arxiv.1601.04238,
title = {Lines on quartic surfaces},
author = {Alex Degtyarev and Ilia Itenberg and Ali Sinan Sertöz},
journal= {arXiv preprint arXiv:1601.04238},
year = {2017}
}