Self-intersection Number of Negative Curves on Fermat Surfaces
Algebraic Geometry
2026-01-12 v3
Abstract
We give an explicit formula for the self-intersection number of negative curves on Fermat surfaces. The formula offers us hints to either prove or disprove the Bounded Negativity Conjecture for the Fermat surfaces.
Cite
@article{arxiv.2501.00319,
title = {Self-intersection Number of Negative Curves on Fermat Surfaces},
author = {Zhenjian Wang},
journal= {arXiv preprint arXiv:2501.00319},
year = {2026}
}
Comments
main results remain unchanged; minor changes for the presentation