Betti numbers of monomial ideals in four variables
Commutative Algebra
2019-05-06 v1
Abstract
We express the multigraded Betti numbers of monomial ideals in 4 variables in terms of the multigraded Betti numbers of 66 squarefree monomial ideals, also in 4 variables. We use this class of 66 ideals to prove that monomial resolutions in 4 variables are independent of the base field. In addition, we give a formula for the Betti numbers of an arbitrary monomial ideal in 4 variables.
Keywords
Cite
@article{arxiv.1905.01151,
title = {Betti numbers of monomial ideals in four variables},
author = {Guillermo Alesandroni},
journal= {arXiv preprint arXiv:1905.01151},
year = {2019}
}