FREE RESOLUTIONS OF DYNKIN FORMAT AND THE LICCI PROPERTY OF GRADE 3 PERFECT IDEALS

摘要

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.