Raynaud 的群概型与覆盖的约化
代数几何
2009-03-10 v2
摘要
研究了在整除 |G| 的素数 p 处可容许 G-覆盖 Y \to X 的约化结构。假设 |G| 不被 p^2 整除且 p-Sylow 群正规。遵循 Raynaud，我们证明在 X 的光滑轨迹上存在群概型 \cG，使得 Y 在特殊点之外仍是主丛。讨论了涉及 Artin 扭曲曲线的节点处结构。
关键词
引用
@article{arxiv.math/0304352,
title = {Raynaud's group-scheme and reduction of coverings},
author = {Dan Abramovich and Jonathan Lubin},
journal= {arXiv preprint arXiv:math/0304352},
year = {2009}
}
备注
Results much improved thanks to computations of Romagny, hopefully leading to complete moduli space in joint work in the near future. Added appendix by Lubin, of which this is the fun version. If you want to see the master working in Lubin Tate theory read this - the published version, he threatens, will be cut and dry