On Affine Real Cubic Surfaces
Abstract
We prove that the space of affine, transversal at infinity, nonsingular 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.
- Publication:
-
Arnold Mathematical Journal
- Pub Date:
- June 2024
- DOI:
- arXiv:
- arXiv:2208.09502
- Bibcode:
- 2024ArnMJ..10..155F
- Keywords:
-
- Real affine cubic surfaces;
- Deformation classification;
- Wall-crossing;
- Primary 14R05;
- Secondary 14P25;
- 14J10;
- 14J26;
- Mathematics - Algebraic Geometry;
- Primary: 14R05. Secondary: 14P25;
- 14J10;
- 14J26
- E-Print:
- 12 pages, 3 figures, 2 tables