Pavlaković — On The Virtual Euler Characteristic Of The Moduli Space Of Stable Pairs On Surfaces (2025)

reference·#reference

Ana Pavlaković. On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces. arXiv. 2025.

DOI · Link

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.