TY - JOUR
T1 - Free resolutions of dynkin format and the licci property of grade 3 perfect ideals
AU - Christensen, Lars Winther
AU - Veliche, Oana
AU - Weyman, Jerzy
N1 - Publisher Copyright:
© 2019 Mathematica Scandinavica. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019/10/19
Y1 - 2019/10/19
N2 - Recentwork 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.
AB - Recentwork 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.
UR - http://www.scopus.com/inward/record.url?scp=85079014151&partnerID=8YFLogxK
U2 - 10.7146/math.scand.a-114894
DO - 10.7146/math.scand.a-114894
M3 - Article
AN - SCOPUS:85079014151
VL - 125
SP - 163
EP - 178
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
SN - 0025-5521
IS - 2
ER -