On the number of generators of the torsion module of differentials期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the number of generators of the torsion module of differentials

Authors:	Ruth I. Michler

Affiliation:	Department of Mathematics, University of North Texas, Denton, Texas 76203-5116

Abstract:	In this paper we study the (minimum) global number of generators of the torsion module of differentials of affine hypersurfaces with only isolated singularities. We show that for reduced plane curves the torsion module of differentials can be generated by at most two elements, whereas for higher codimensions there is no universal upper bound. We then proceed to give explicit examples. In particular (when ) , we give examples of a reduced hypersurface with a single isolated singularity at the origin in $mathbf{A}^{N}_{K}$ that require $begin{displaymath}frac{N!}{2} + N(N-1)/2end{displaymath}$ generators for the torsion module, Torsion $(Omega_{A/K}^{N-1})$ .

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文