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2017 Constructing monomial ideals with a given minimal resolution
Sonja Mapes, Lindsay C. Piechnik
Rocky Mountain J. Math. 47(6): 1963-1985 (2017). DOI: 10.1216/RMJ-2017-47-6-1963

Abstract

This paper gives a description of various recent results, which construct monomial ideals with a given minimal free resolution. We show that these results are all instances of coordinatizing a finite atomic lattice, as found in~\cite {mapes}. Subsequently, we explain how, in some of these cases \cite {Faridi, Floystad1} where questions still remain, this point of view can be applied. We also prove an equivalence for trees between the notion of \textit {maximal} defined in~\cite {Floystad1} and the notion of being maximal in a Betti stratum.

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Sonja Mapes. Lindsay C. Piechnik. "Constructing monomial ideals with a given minimal resolution." Rocky Mountain J. Math. 47 (6) 1963 - 1985, 2017. https://doi.org/10.1216/RMJ-2017-47-6-1963

Information

Published: 2017
First available in Project Euclid: 21 November 2017

zbMATH: 06816578
MathSciNet: MR3725252
Digital Object Identifier: 10.1216/RMJ-2017-47-6-1963

Subjects:
Primary: 13D02

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

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Vol.47 • No. 6 • 2017
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