Geometry of superficial elements
交换代数
2007-05-23 v1 代数几何
摘要
In this paper, we study superficial elements of an ideal with respect to a module from a geometrical point of view, using blowing-ups. The notion of weak transform is particularly relevant to this study. We use this viewpoint to get a simple proof of a theorem by D. Kirby characterizing those superficial elements. We also indicate how the same result may be algebraically derived from a more recent theorem of Flenner and Vogel.
引用
@article{arxiv.math/0310129,
title = {Geometry of superficial elements},
author = {Romain Bondil},
journal= {arXiv preprint arXiv:math/0310129},
year = {2007}
}
备注
30 09.2003