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Kresch, Andrew; Tschinkel, Yuri (2022). Equivariant birational types and Burnside volume. Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, 23(2):1013-1052.
We introduce equivariant Burnside groups, new invariants in equivariant birational geometry, generalizing birational symbols groups for actions of finite abelian groups, due to Kontsevich, Pestun, and the second author, and study their properties. We establish a specialization map for the equivariant birational type of a smooth algebraic variety with an action of a finite group.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Uncontrolled Keywords: | Mathematics (miscellaneous), Theoretical Computer Science |
| Language: | English |
| Date: | 23 June 2022 |
| Deposited On: | 10 Oct 2022 05:12 |
| Last Modified: | 27 Dec 2024 02:43 |
| Publisher: | Scuola Normale Superiore di Pisa |
| ISSN: | 0391-173X |
| Additional Information: | Mathematics Subject Classification (2020): 14L30 (primary); 14E07, 14M20 (secondary). |
| OA Status: | Closed |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.2422/2036-2145.202011_024 |
Kresch, Andrew