正规环面环中的一致符号拓扑
交换代数
2018-11-26 v2 代数几何
摘要
给定一个正规环面代数 ，我们计算出一个一致整数 ，使得对于所有 和所有单项式素理想 ，符号幂 成立。我们根据定义 的多面锥数据显式地计算出乘数 。在此环面设定下，我们建立了与正特征下 的 F-符号之间的联系。
引用
@article{arxiv.1706.06576,
title = {Uniform Symbolic Topologies in Normal Toric Rings},
author = {Robert M. Walker},
journal= {arXiv preprint arXiv:1706.06576},
year = {2018}
}
备注
10 pages, down from 12 pages in Version 1. Author info corrected. Substantial overhaul of all sections of the paper for efficient and clear exposition: significant improvements to the generality of select results; in particular, several results have been replaced or otherwise removed. Content of Sections 3 and 4 re-distributed and re-written. Segre-Veronese algebra computation added