Integral extensions and the -invariant

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• 作者：Andrew Kustin ; Claudia Polini ; Bernd Ulrich
• 关键词：Primary ; 13H10 ; Secondary ; 13A30 ; 13B22 ; 13C40 ; 13D45
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2012
• 出版时间：December, 2012
• 年：2012
• 卷：216
• 期：12
• 页码：2800-2806
• 全文大小：231 K

文摘

In this note we compare the -invariant of a homogeneous algebra to the -invariant of a subalgebra . In particular we show that if is a finite homogeneous inclusion of standard graded domains over an algebraically closed field with normal and of minimal multiplicity then has minimal multiplicity. In some sense these results are algebraic generalizations of Hurwitz type theorems.