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Asymptotic growth of algebras associated to powers of ideals

Published online by Cambridge University Press:  04 August 2009

STEVEN DALE CUTKOSKY ,
JÜRGEN HERZOG  and
HEMA SRINIVASAN
STEVEN DALE CUTKOSKY
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A. e-mail: cutkoskys@missouri.edu
JÜRGEN HERZOG
Affiliation:
Fachbereich Mathematik, Universität Duisburg–Essen, Campus Essen, 45117 Essen, Germany. e-mail: juergen.herzog@uni-essen.de
HEMA SRINIVASAN
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A. e-mail: srinivasanh@missouri.edu
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Abstract

We study generalized symbolic powers and form ideals of powers and compare their growth with the growth of ordinary powers, and we discuss the question of when the graded rings attached to symbolic powers or to form ideals of powers are finitely generated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 148 , Issue 1 , January 2010 , pp. 55 - 72
Copyright
Copyright © Cambridge Philosophical Society 2009

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