Upper bounds for Betti numbers from constraints on the Hilbert function (2011.03401v1)

Published 6 Nov 2020 in math.AC

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.

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Authors (1)

Jay White

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