Criteria for Componentwise Linearity

Uwe Nagel, Tim Römer

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We establish characteristic-free criteria for the componentwise linearity of graded ideals. As applications, we classify the componentwise linear ideals among the Gorenstein ideals, the standard determinantal ideals, and the ideals generated by the submaximal minors of a symmetric matrix.

Original languageEnglish
Pages (from-to)935-952
Number of pages18
JournalCommunications in Algebra
Volume43
Issue number3
DOIs
StatePublished - Mar 4 2015

Bibliographical note

Funding Information:
This work was partially supported by grants from the Simons Foundation (#208869 to Uwe Nagel) and the National Security Agency (H98230-12-1-0247), respectively.

Publisher Copyright:
© 2015, Copyright Taylor & Francis Group, LLC.

Keywords

  • Betti numbers
  • Generic initial ideal
  • Gorenstein ideal
  • Stable monomial ideal
  • Standard determinantal ideal

ASJC Scopus subject areas

  • Algebra and Number Theory

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