English

Criteria for componentwise linearity

Commutative Algebra 2021-05-18 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1108.3921,
  title  = {Criteria for componentwise linearity},
  author = {Uwe Nagel and Tim Roemer},
  journal= {arXiv preprint arXiv:1108.3921},
  year   = {2021}
}

Comments

17 pages; corrected version

R2 v1 2026-06-21T18:52:47.294Z