Upper bounds for Betti numbers from constraints on the Hilbert function

Autor:	White, Jay
Rok vydání:	2020
Předmět:	Mathematics - Commutative Algebra
Druh dokumentu:	Working Paper
Popis:	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. Comment: 9 pages, 1 figure, submitted to the Journal of Software for Algebra and Geometry
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.03401 Zobrazit plný text záznamu View this record from Arxiv