Algebra & Number Theory Seminar | Department Home

Texas Tech University
Algebra & Number Theory Seminar

Department of Mathematics & Statistics
Math 109
Wednesdays 3:00-4:00 pm

Lars Christensen

Texas Tech University

Wednesday, September 20, 2017

Math 109, 3:00 pm

Title: Linkage in codimension 3

Abstract: Let R be a regular local ring. All perfect ideals I⊂R of codimension 2 are linked to a complete intersection ideal, they are licci. On the other and, generic ideals of codimension 4 are not licci. We provide evidence in support of our conjecture that a perfect ideal of codimension 3 is licci if the free resolution of I over R has certain "Dynkin" format. Here, the connection to Dynkin diagrams comes through Weyman's theory of generic resolutions.