- Series
- Algebra Seminar
- Time
- Monday, April 8, 2019 - 12:50pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Mengyuan Zhang – University of California, Berkeley – myzhang@berkeley.edu
- Organizer
- Justin Chen
In this talk we discuss the following problem due to Peskine and Kollar: Let E be a flat family of rank two bundles on P^n parametrized by a smooth variety T. If E_t is isomorphic to O(a)+O(b) for general t in T, does it mean E_0 is isomorphic to O(a)+O(b) for a special point 0 in T? We construct counter-examples in over P^1 and P^2, and discuss the problem in P^3 and higher P^n.