Spinors and essential dimension
In: Compositio Math. 153 (2017) 535-556; (2016)
Online
report
We prove that spin groups act generically freely on various spinor modules, in the sense of group schemes and in a way that does not depend on the characteristic of the base field. As a consequence, we extend the surprising calculation of the essential dimension of spin groups and half-spin groups in characteristic zero by Brosnan--Reichstein--Vistoli (Annals of Math., 2010) and Chernousov--Merkurjev (Algebra & Number Theory, 2014) to fields of characteristic different from 2.
Comment: v2 adds an appendix by Alexander Premet on generic stabilizer in HSpin_16 in characteristic 2
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Spinors and essential dimension
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Autor/in / Beteiligte Person: | Garibaldi, Skip ; Guralnick, Robert M. |
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Quelle: | Compositio Math. 153 (2017) 535-556; (2016) |
Veröffentlichung: | 2016 |
Medientyp: | report |
DOI: | 10.1112/S0010437X16008162 |
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