On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces
Algebraic Geometry
2025-05-30 v1
Abstract
We study the stable pair theory on toric surfaces and determine the virtual tangent space over the fixed point loci. Further, we present a program to compute the virtual Euler characteristic, illustrated by the case of the projective plane. As an application, conjectures regarding rationality and symmetry are supported by verification of a special case.
Cite
@article{arxiv.2505.23531,
title = {On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces},
author = {Ana Pavlaković},
journal= {arXiv preprint arXiv:2505.23531},
year = {2025}
}