Computing the equivariant Brauer group
| Autor: | Pirutka, Alena, Zhang, Zhijia |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 40 pages |
| Databáze: | arXiv |
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