Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure
Algebraic Geometry
2025-02-21 v2 Symplectic Geometry
Abstract
We obtain a formula for the number of genus one curves with a fixed complex structure 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 the difference between the symplectic invariant and an intersection number on the moduli space of rational curves.
Cite
@article{arxiv.1509.08284,
title = {Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure},
author = {Indranil Biswas and Ritwik Mukherjee and Varun Thakre},
journal= {arXiv preprint arXiv:1509.08284},
year = {2025}
}
Comments
Seven pages. To appear in Comptes Rendus Mathematique