Morse resolutions of powers of square-free monomial ideals of projective dimension one

DOI10.1007/s10801-021-01085-zzbMath1487.13003arXiv2103.07959OpenAlexW3209797257MaRDI QIDQ2141079

Sabine El Khoury, Sarah Mayes-Tang, Liana M. Şega, Susan Morey, Sandra Spiroff, Sara Faridi, Susan Marie Cooper

Publication date: 23 May 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07959

zbMATH Keywords

monomial idealminimal resolutiondiscrete Morse theorypowers of idealprojective dimension one

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15) Combinatorial aspects of commutative algebra (05E40)

Related Items (5)

Powers of graphs \& applications to resolutions of powers of monomial ideals ⋮ Simplicial resolutions of powers of square-free monomial ideals ⋮ Barile-Macchia resolutions ⋮ The Scarf complex and Betti numbers of powers of extremal ideals ⋮ Cellular resolutions of monomial ideals and their Artinian reductions

Uses Software

• Macaulay2

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