English

The Noether problem for spinor groups of small rank

Algebraic Geometry 2019-12-25 v2

Abstract

Building on prior work of Bogomolov, Garibaldi, Guralnick, Igusa, Kordonskii, Merkurjev and others, we show that the Noether Problem for Spinn\operatorname{Spin}_n has a positive solution for every n14n\leq 14 over an arbitrary field of characteristic 2\neq 2.

Cite

@article{arxiv.1906.03278,
  title  = {The Noether problem for spinor groups of small rank},
  author = {Zinovy Reichstein and Federico Scavia},
  journal= {arXiv preprint arXiv:1906.03278},
  year   = {2019}
}

Comments

Added an alternative proof of Theorem 1.1 over the complex numbers, suggested by G. Schwarz

R2 v1 2026-06-23T09:47:23.963Z