On parameter spaces for artin level algebras
代数几何
2007-05-23 v2 交换代数
偏微分方程分析
摘要
The set of all artin level quotients of a polynomial algebra in n variables having specified socle degree and type admits a parameter space. It is in fact a quasiprojective variety, naturally embedded in a Grassmannian. We give a geometric description of this variety in the case of two variables. Then we give some sufficient conditions for the parameter variety to be projectively normal in the Plucker embedding.
引用
@article{arxiv.math/0204017,
title = {On parameter spaces for artin level algebras},
author = {J. V. Chipalkatti and A. V. Geramita},
journal= {arXiv preprint arXiv:math/0204017},
year = {2007}
}
备注
Revised version which supplies a missing attribution. To appear in Mich. Math. J