Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases
Commutative Algebra
2026-02-16 v1 Algebraic Geometry
Abstract
Using techniques coming from the theory of marked bases, we develop new computational methods for detection and construction of Cohen-Macaulay, Gorenstein and complete intersection homogeneous polynomial ideals. Thanks to the functorial properties of marked bases, an elementary and effective proof of the openness of arithmetically Cohen-Macaulay, arithmetically Gorenstein and strict complete intersection loci in a Hilbert scheme follows, for a non-constant Hilbert polynomial.
Keywords
Cite
@article{arxiv.2410.17090,
title = {Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases},
author = {Cristina Bertone and Francesca Cioffi and Matthias Orth and Werner M. Seiler},
journal= {arXiv preprint arXiv:2410.17090},
year = {2026}
}
Comments
29 pages, comments are welcome