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math.AC2021
Powers of graphs & applications to resolutions of powers of monomial ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
This paper is concerned with the question of whether geometric structures such as cell complexes can be used to simultaneously describe the minimal free resolutions of all powers o…
math.AC2021
Simplicial resolutions for the second power of square-free monomial ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
Given a square-free monomial ideal , we define a simplicial complex labeled by the generators of which supports a free resolution of . As a consequence, we obtain (sh…
math.AC2021
Morse resolutions of powers of square-free monomial ideals of projective dimension one
Susan Cooper, Sabine El Khoury, Sara Faridi +4
Let be a square-free monomial ideal of projective dimension one. Starting with the Taylor complex on the generators of , we use Discrete Morse theory to describe a CW…