Symmetries and equations of smooth quartic surfaces with many lines
Algebraic Geometry
2022-03-15 v2
Abstract
We provide explicit equations of some smooth complex quartic surfaces with many lines, including all 10 quartics with more than 52 lines. We study the relation between linear automorphisms and some configurations of lines such as twin lines and special lines. We answer a question by Oguiso on a determinantal presentation of the Fermat quartic surface.
Keywords
Cite
@article{arxiv.1708.01219,
title = {Symmetries and equations of smooth quartic surfaces with many lines},
author = {Davide Cesare Veniani},
journal= {arXiv preprint arXiv:1708.01219},
year = {2022}
}
Comments
22 pages, the last unknown quartic surface with more than 52 lines has been added