Free resolutions of Dynkin format and the licci property of grade $3$ perfect ideals
DOI:
https://doi.org/10.7146/math.scand.a-114894Abstract
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.
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