GAAG seminar - Rationality questions for Fano schemes of intersections of two quadrics
Event details
| Date | 23.04.2024 |
| Hour | 14:15 › 16:00 |
| Speaker | Fumiaki Suzuki (Hannover) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
We study rationality questions for the Fano schemes of non-maximal linear spaces on a smooth complete intersection X of two quadrics, especially over non-closed fields. We start by showing that they are all geometrically rational. We then ask their rationality over k and analyze in details the case of second maximal linear spaces. In particular, we generalize results of Hassett-Tschinkel and Benoist-Wittenberg when X has odd dimension, and extend work of Hassett-Kollár-Tschinkel when X has even dimension and k = R. This is joint work with Lena Ji.
Practical information
- Informed public
- Free
Contact
- Laetitia Al-Sulaymaniyin