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 | |
| State | Published - Mar 4 2015 |
Bibliographical note
Publisher Copyright:© 2015, Copyright Taylor & Francis Group, LLC.
Funding
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.
| Funders | Funder number |
|---|---|
| Simons Foundation | 208869 |
| National Security Agency | H98230-12-1-0247 |
Keywords
- Betti numbers
- Generic initial ideal
- Gorenstein ideal
- Stable monomial ideal
- Standard determinantal ideal
ASJC Scopus subject areas
- Algebra and Number Theory