Back to Commutative Algebra Seminar: Spring 2017
Commutative Algebra Seminar
Date: Friday, Apr 7, 2017
Time: 3:10PM - 4:00PM
Location: LCB 215
Wenbo Niu
University of Arkansas
Title |
Singularities under generic linkage |
Abstract |
One of the central problem in linkage theory (or liaison) is to understand the behavior of singularities. Given a variety X, the general equations of X will define a complete intersection V containing X as a component. The closure of V-X gives a variety Y as the residual part of X in V . Then Y is called a general link of X via V . Even for X nonsingular, Y is usually not nonsingular. But sometimes Y could have better singularities than X. In this talk, we will discuss how techniques from birational geometry can used in the study of singularities under linkage. We will show that MJ-singularties can be preserved under the process of linkage. This also leadsus to show the minimal log discrepancies are increased under linkage. |
Commutative Algebra