Rational cuspidal curves on del-Pezzo surfaces
Algebraic Geometry
2025-02-21 v1 Symplectic Geometry
Abstract
We obtain an explicit formula for the number of rational cuspidal curves of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface. This enumerative problem is expressed as an Euler class computation on the moduli space of curves. A topological method is employed in computing the contribution of the degenerate locus to this Euler class.
Cite
@article{arxiv.1509.06300,
title = {Rational cuspidal curves on del-Pezzo surfaces},
author = {Indranil Biswas and Shane D'Mello and Ritwik Mukherjee and Vamsi Pingali},
journal= {arXiv preprint arXiv:1509.06300},
year = {2025}
}
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