Computing the lines of a smooth cubic surface
Algebraic Geometry
2022-10-26 v1 Algebraic Topology
Complex Variables
Abstract
We give an explicit formula for the lines of a smooth cubic surface near the Fermat surface. Our formula involves convergent power series with coefficients in the extension of rational numbers with the sixth root of unity. Our main tool is the Artinian Gorenstein ring of socle two attached to such lines.
Keywords
Cite
@article{arxiv.2210.13947,
title = {Computing the lines of a smooth cubic surface},
author = {Hossein Movasati},
journal= {arXiv preprint arXiv:2210.13947},
year = {2022}
}
Comments
5 pages