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Generic Cohen-Macaulay monomial ideals

Abdul Salam Jarrah·Reinhard Laubenbacher
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Abstract

Given a simplicial complex, it is easy to construct a generic deformation of its Stanley-Reisner ideal. The main question under investigation in this paper is how to characterize the simplicial complexes such that their Stanley-Reisner ideals have Cohen-Macaulay generic deformations. Algorithms are presented to construct such deformations for matroid complexes, shifted complexes, and tree complexes.

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Abdul Salam Jarrah, Reinhard Laubenbacher. 2003-08-12. Generic Cohen-Macaulay monomial ideals. https://arxiv.org/abs/math/0308113

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