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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.23531 |
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| _version_ | 1866910973796810752 |
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| author | Pavlaković, Ana |
| author_facet | Pavlaković, Ana |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23531 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces Pavlaković, Ana Algebraic Geometry 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. |
| title | On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2505.23531 |