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arXiv · 1706.06572

Structural decomposition of monomial resolutions

Guillermo Alesandroni
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Abstract

We express the multigraded Betti numbers of an arbitrary monomial ideal in terms of the multigraded Betti numbers of two basic classes of ideals. This decompo- sition has multiple applications. In some concrete cases, we use it to construct minimal resolutions of classes of monomial ideals; in other cases, we use it to compute projective dimensions. To illustrate the effectiveness of the structural decomposition, we give a new proof of a classic theorem by Charalambous.

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Guillermo Alesandroni. 2017-06-20. Structural decomposition of monomial resolutions. https://arxiv.org/abs/1706.06572

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