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arXiv · 2505.23531

On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces

Ana Pavlaković
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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.

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Ana Pavlaković. 2025-05-29. On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces. https://arxiv.org/abs/2505.23531

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