Morse resolutions of powers of square-free monomial ideals of projective dimension one
Morse resolutions of powers of square-free monomial ideals of projective dimension one
Let $I$ be a square-free monomial ideal $I$ of projective dimension one. Starting with the Taylor complex on the generators of $I^r$, we use Discrete Morse theory to describe a CW complex that supports a minimal free resolution of $I^r$. To do so, we concretely describe the acyclic matching on the faces of the Taylor complex.
Liana M. Sega、Susan Cooper、Susan Morey、Sabine El Khoury、Sarah Mayes-Tang、Sara Faridi、Sandra Spiroff
数学
Liana M. Sega,Susan Cooper,Susan Morey,Sabine El Khoury,Sarah Mayes-Tang,Sara Faridi,Sandra Spiroff.Morse resolutions of powers of square-free monomial ideals of projective dimension one[EB/OL].(2021-03-14)[2025-08-02].https://arxiv.org/abs/2103.07959.点此复制
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