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

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dc.contributor.authorCooper, Susan Marie
dc.contributor.authorEl Khoury, Sabine
dc.contributor.authorFaridi, Sara
dc.contributor.authorMayes-Tang, Sarah
dc.contributor.authorMorey, Susan E.
dc.contributor.authorŞega, Liana M.
dc.contributor.authorSpiroff, Sandra
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences (FAS)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:24:40Z
dc.date.available2025-01-24T11:24:40Z
dc.date.issued2022
dc.description.abstractLet I be a square-free monomial ideal of projective dimension one. Starting with the Taylor complex on the generators of Ir, we use discrete Morse theory to describe a CW complex that supports a minimal free resolution of Ir. To do so, we concretely describe the acyclic matching on the faces of the Taylor complex. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
dc.identifier.doihttps://doi.org/10.1007/s10801-021-01085-z
dc.identifier.eid2-s2.0-85118313604
dc.identifier.urihttp://hdl.handle.net/10938/26089
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Algebraic Combinatorics
dc.sourceScopus
dc.subjectDiscrete morse theory
dc.subjectMinimal resolution
dc.subjectMonomial ideal
dc.subjectPowers of ideal
dc.subjectProjective dimension one
dc.titleMorse resolutions of powers of square-free monomial ideals of projective dimension one
dc.typeArticle

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