A note on minimal resolutions of vector-spread Borel ideals
Commutative Algebra
2022-08-04 v1
Abstract
We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby we determine the graded Betti numbers and the bigraded Poincar\'e series. A characterization of the extremal Betti numbers of such a class of ideals is given. Finally, we classify all Cohen-Macaulay vector-spread Borel ideals.
Cite
@article{arxiv.2208.02181,
title = {A note on minimal resolutions of vector-spread Borel ideals},
author = {Marilena Crupi and Antonino Ficarra},
journal= {arXiv preprint arXiv:2208.02181},
year = {2022}
}