Criteria for Componentwise Linearity

Uwe Nagel; Tim Römer

doi:10.1080/00927872.2013.856438

Criteria for Componentwise Linearity

Uwe Nagel, Tim Römer

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	935-952
Number of pages	18
Journal	Communications in Algebra
Volume	43
Issue number	3
DOIs	https://doi.org/10.1080/00927872.2013.856438
State	Published - 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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10.1080/00927872.2013.856438

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KW - Gorenstein ideal

KW - Stable monomial ideal

KW - Standard determinantal ideal

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Criteria for Componentwise Linearity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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