Upper bounds for Betti numbers from constraints on the Hilbert function
Commutative Algebra
2020-11-09 v1
Abstract
We describe an algorithm for finding sharp upper bounds for the total Betti numbers of a saturated ideal given certain constraints on its Hilbert function. This algorithm is implemented in the Macaulay2 package, MaxBettiNumbers, along with variations that produce ideals with maximal total Betti numbers.
Cite
@article{arxiv.2011.03401,
title = {Upper bounds for Betti numbers from constraints on the Hilbert function},
author = {Jay White},
journal= {arXiv preprint arXiv:2011.03401},
year = {2020}
}
Comments
9 pages, 1 figure, submitted to the Journal of Software for Algebra and Geometry