一些齐次坐标环是 Koszul 代数
alg-geom
2008-02-03 v2 代数几何
摘要
通过化简为正特征和利用 Mehta 与 Ramanathan 所述的 Frobenius 分裂对角线的方法，我们证明了光滑 toric Varieties 或 Schubert Varieties 的齐次坐标环都是 Koszul 代数。
引用
@article{arxiv.alg-geom/9501011,
title = {Some homogeneous coordinate rings that are Koszul algebras},
author = {Rikard Bögvad},
journal= {arXiv preprint arXiv:alg-geom/9501011},
year = {2008}
}
备注
Revised version. Due to the mistake in alg-geom/9501012 the argument only works for homogeneous coordinate rings of Schubert varieties. This has also been proved by other authors and we have added references to them