具有自由权值幺半群的仿射球簇的模方案
代数几何
2017-07-12 v4 表示论
摘要
我们在权值幺半群 是自由的假设下，研究了 Alexeev 和 Brion 的具有权值幺半群 的仿射球簇的模方案 。我们利用球簇的组合不变量描述了 在其“最退化点”处的切空间，并推断出 equipped with their reduced induced scheme structure 的 的不可约分量是仿射空间。
引用
@article{arxiv.1406.6041,
title = {The moduli scheme of affine spherical varieties with a free weight monoid},
author = {Paolo Bravi and Bart Van Steirteghem},
journal= {arXiv preprint arXiv:1406.6041},
year = {2017}
}
备注
v1: 26 pages. v2: 27 pages, improved exposition. v3: 27 pages, Corollary 4.3 removed due to error in proof, other results unaffected, new Remark 5.5, scheme structure made explicit. v4: 29 pages, implemented changes requested by referee