An arithmetic Yau-Zaslow formula
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911330053652480 |
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| author | Pajwani, Jesse Pál, Ambrus |
| author_facet | Pajwani, Jesse Pál, Ambrus |
| contents | We prove an arithmetic refinement of the Yau-Zaslow formula by replacing the classical Euler characteristic in Beauville's argument by a "motivic Euler characteristic", related to the work of Levine. Our result implies similar formulas for other related invariants, including a generalisation of a formula of Kharlamov and Rasdeaconu on counting real rational curves on real K3 surfaces, and Saito's determinant of cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_15788 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An arithmetic Yau-Zaslow formula Pajwani, Jesse Pál, Ambrus Algebraic Geometry Number Theory 14G05, 14P10, 12G05, 14J28, 14N10 We prove an arithmetic refinement of the Yau-Zaslow formula by replacing the classical Euler characteristic in Beauville's argument by a "motivic Euler characteristic", related to the work of Levine. Our result implies similar formulas for other related invariants, including a generalisation of a formula of Kharlamov and Rasdeaconu on counting real rational curves on real K3 surfaces, and Saito's determinant of cohomology. |
| title | An arithmetic Yau-Zaslow formula |
| topic | Algebraic Geometry Number Theory 14G05, 14P10, 12G05, 14J28, 14N10 |
| url | https://arxiv.org/abs/2210.15788 |