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Free resolutions of Dynkin format and the licci property of grade 3 perfect ideals (1712.04016v2)
Published 11 Dec 2017 in math.AC
Abstract: Recent work on generic free resolutions of length 3 attaches to every resolution a graph and suggests that resolutions whose associated graph is a Dynkin diagram are distinguished. We conjecture that in a regular local ring, every grade 3 perfect ideal whose minimal free resolution is distinguished in this way is in the linkage class of a complete intersection.