Gotzmann ideals of the polynomial ring

Satoshi Murai*, Takayuki Hibi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Let A = K[x 1,..., x n] denote the polynomial ring in n variables over a field K. We will classify all the Gotzmann ideals of A with at most n generators. In addition, we will study Hilbert functions H for which all homogeneous ideals of A with the Hilbert function H have the same graded Betti numbers. These Hilbert functions will be called inflexible Hilbert functions. We introduce the notion of segmentwise critical Hilbert functions and show that segmentwise critical Hilbert functions are inflexible.

Original languageEnglish
Pages (from-to)629-646
Number of pages18
JournalMathematische Zeitschrift
Issue number3
Publication statusPublished - 2008 Nov
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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