CW-resolutions of monomial ideals that are supported on face posets |
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Authors: | Daniel Wood |
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Affiliation: | Department of Mathematics, University at Albany, SUNY, Albany, New York, USA |
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Abstract: | Given a monomial ideal I with minimal free resolution ? supported in characteristic p>0 on a CW-complex X with regular 2-skeleton, in general it is not the case that the face poset of X, P(X), also supports ? in the sense of Clark and Tchernev. We construct a (not necessarily regular) CW-complex Y that also supports ? and such that the face poset P(Y) also supports ?. |
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Keywords: | Commutative algebra CW-resolutions minimal free resolutions monomial ideals |
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