Cubic fourfolds containing a Veronese surface

開催日時
2020/01/10 金 10:30 - 12:00
場所
3号館152号室
講演者
Yu-Wei Fan
講演者所属
University of California, Berkeley
概要

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.