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arXiv · 1902.02740

The minimal cellular resolutions of the edge ideals of forests

Margherita Barile·Antonio Macchia
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Abstract

We present an explicit construction of a minimal cellular resolution for the edge ideals of forests, based on discrete Morse theory. In particular, the generators of the free modules are subsets of the generators of the modules in the Lyubeznik resolution. This procedure allows to ease the computation of the graded Betti numbers and the projective dimension.

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Margherita Barile, Antonio Macchia. 2019-02-07. The minimal cellular resolutions of the edge ideals of forests. https://arxiv.org/abs/1902.02740

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