Search
Talk

Linkage in codimension three

  • Xianglong Ni (University of California at Berkeley)
E1 05 (Leibniz-Saal)

Abstract

The story of linkage in codimension two is well-understood, and was originally used to classify curves in $P^3$. For example, such a curve is in the linkage class of a complete intersection (licci) if and only if it is arithmetically Cohen-Macaulay. In codimension three (and beyond) only the forward implication remains true in general, but it is conjectured that if the Betti numbers are "small" then the reverse direction holds. I will share some ongoing joint work with Lorenzo Guerrieri and Jerzy Weyman regarding this topic, with an emphasis on examples. No prior knowledge of linkage is assumed.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar