Free resolutions of Dynkin format and the licci property of grade 3 perfect ideals
arXiv:1712.04016
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.
arXiv commentMinor edits. Final version, to appear in Math. Scand., 13 pp