Hilbert coefficients of ideals with a view toward blowup algebras

Alberto Corso, Claudia Polini

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


2.1 Introduction Our basic object of study is a Cohen-Macaulay local ring (R, m) of dimension d and its R-ideals. The examination of the asymptotic properties of such ideals has evolved into a challenging area of research, touching most aspects of commutative algebra, including its interaction with computational algebra and algebraic geometry. It takes expression in several graded algebras attached to I, among which we single out the Rees algebra R[It], the associated graded ring grI(R) and the special fiber ring F(I) of I; namely, R[It] = k=0 Iktk, grI (R) = R[It]/IR[It], F(I) = R[It]/mR[It].

Original languageEnglish
Title of host publicationSyzygies and Hilbert Functions
Number of pages25
ISBN (Electronic)9781420050912
StatePublished - Jan 1 2007

Bibliographical note

Publisher Copyright:
© 2007 by Taylor & Francis Group, LLC.

ASJC Scopus subject areas

  • General Mathematics


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