On a formula for the equivariant Euler characteristic of a $G$-sheaf
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908382591451136 |
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| author | Kuang, Qiangru Sala, Francesco |
| author_facet | Kuang, Qiangru Sala, Francesco |
| contents | H. Fischbacher-Weitz and B. Köck computed the equivariant Euler characteristic of a $G-$sheaf on a $G$-curve $X$ over a field. Using a form of the Riemann-Roch theorem for quotient stacks proved by the second author we extend their computations to the cases where $dim(X) >1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12367 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a formula for the equivariant Euler characteristic of a $G$-sheaf Kuang, Qiangru Sala, Francesco Algebraic Geometry H. Fischbacher-Weitz and B. Köck computed the equivariant Euler characteristic of a $G-$sheaf on a $G$-curve $X$ over a field. Using a form of the Riemann-Roch theorem for quotient stacks proved by the second author we extend their computations to the cases where $dim(X) >1$. |
| title | On a formula for the equivariant Euler characteristic of a $G$-sheaf |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2505.12367 |