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math.AC2024
Flagged Perturbations and Anchored Resolutions
Keller VandeBogert
In this paper, we take advantage of a reinterpretation of differential modules admitting a flag structure as a special class of perturbations of complexes. We are thus able to leve…
math.AC2024
From total positivity to pure free resolutions
Steven V Sam, Keller VandeBogert
Using the Jacobi-Trudi identity as a base, we establish parallels between the theory of totally positive integer sequences and Koszul algebras. We then focus on the case of quadric…