On Affine Real Cubic Surfaces
Algebraic Geometry
2023-01-24 v2
Abstract
We prove that the space of affine, transversal at infinity, non-singular real cubic surfaces has 15 connected components. We give a topological criterion to distinguish them and show also how these 15 components are adjacent to each other via wall-crossing.
Cite
@article{arxiv.2208.09502,
title = {On Affine Real Cubic Surfaces},
author = {Sergey Finashin and Viatcheslav Kharlamov},
journal= {arXiv preprint arXiv:2208.09502},
year = {2023}
}
Comments
12 pages, 3 figures, 2 tables; added: Theorem 1.3.2 (on walls extended by cuspidal strata), Section 4 with a proof of this theorem, and Section 5 with a few remarks including an enumeration of ordinary walls