Cohen-Macaulay Property of pinched Veronese Rings
Commutative Algebra
2018-02-15 v2 Combinatorics
Abstract
In this work, we study the Betti numbers of pinched Veronese rings, by means of the reduced homology of squarefree divisor complexes. We characterize when these rings are Cohen-Macaulay and we the study the shape of the Betti tables for the pinched Veronese in the two variables. As a byproduct we obtain information on the linearity of such rings. Moreover, in the last section we compute the canonical modules of the Veronese modules.
Keywords
Cite
@article{arxiv.1709.10461,
title = {Cohen-Macaulay Property of pinched Veronese Rings},
author = {Ornella Greco and Ivan Martino},
journal= {arXiv preprint arXiv:1709.10461},
year = {2018}
}
Comments
17 pages, 2 figures, The second version contains the results on the linearity for the pinched Veronese rings in two variables