Cubic fourfolds containing a Veronese surface

Date
2020/01/10 Fri 10:30 - 12:00
Room
3号館152号室
Speaker
Yu-Wei Fan
Affiliation
University of California, Berkeley
Abstract

The connection between the rationality of cubic fourfolds and their associated K3 categories was first discovered by Kuznetsov. It was conjectured by Huybrechts that if two cubic fourfolds have equivalent associated K3 categories then they are birational to each other. Using the techniques of Cremona transformations, we prove Huybrecht's conjecture in the case when one of the cubic fourfolds contains a Veronese surface. This technique also leads to new examples of rational cubic fourfolds. This is a joint work with Kuan-Wen Lai.