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math.AC2021
Three takes on almost complete intersection ideals of grade 3
Lars Winther Christensen, Oana Veliche, Jerzy Weyman
We are interested in the structure of almost complete intersection ideals of grade 3. We give three constructions of these ideals and their free resolutions: one from the commutati…
math.AC2021
Generic local rings on a spectrum between Golod and Gorenstein
Lars Winther Christensen, Oana Veliche
Artinian quotients R of the local ring Q = k[[x,y,z]] are classified by multiplicative structures on A = Tor_Q^*(R,k); in particular, R is Gorenstein if and only if A is a Poincare…