The Noether problem for spinor groups of small rank
Abstract
Building on prior work of Bogomolov, Garibaldi, Guralnick, Igusa, Kordonskii, Merkurjev and others, we show that the Noether Problem for $\operatorname{Spin}_n$ has a positive solution for every $n\leq 14$ over an arbitrary field of characteristic $\neq 2$.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2019
- DOI:
- 10.48550/arXiv.1906.03278
- arXiv:
- arXiv:1906.03278
- Bibcode:
- 2019arXiv190603278R
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- Added an alternative proof of Theorem 1.1 over the complex numbers, suggested by G. Schwarz