小秩自旋群上的诺特问题
代数几何
2019-12-25 v2
摘要
基于Bogomolov、Garibaldi、Guralnick、Igusa、Kordonskii、Merkurjev及其他人的先前工作，我们证明了对于任意特征≠2的域，Noether问题对Spin_n在每一个n≤14时都有正解。
引用
@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}
}
备注
Added an alternative proof of Theorem 1.1 over the complex numbers, suggested by G. Schwarz