Criteria for componentwise linearity

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.

17 pages; corrected version

References in corpus (1)

• Linearity defects of modules over commutative rings

Cited by in corpus (3)

• Completely m-full ideals and componentwise linear ideals
• Moment varieties from inverse Gaussian and gamma distributions
• Componentwise linearity of projective varieties with almost maximal degree