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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2410.05072 |
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| _version_ | 1866917796223385600 |
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| author | Pirutka, Alena Zhang, Zhijia |
| author_facet | Pirutka, Alena Zhang, Zhijia |
| contents | Let X be a smooth projective rational variety carrying a regular action of a finite abelian group G. We give examples of effective computation of the Brauer group of the quotient stack [X/G] in dimensions 2 and 3 using residues in Galois cohomology and the geometry of fixed loci. In particular, we compute Br([X/G]) for all G-minimal del Pezzo surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05072 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing the equivariant Brauer group Pirutka, Alena Zhang, Zhijia Algebraic Geometry Number Theory Let X be a smooth projective rational variety carrying a regular action of a finite abelian group G. We give examples of effective computation of the Brauer group of the quotient stack [X/G] in dimensions 2 and 3 using residues in Galois cohomology and the geometry of fixed loci. In particular, we compute Br([X/G]) for all G-minimal del Pezzo surfaces. |
| title | Computing the equivariant Brauer group |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2410.05072 |