| Language |
English
|
| From |
2011/02/04 10:30
|
| To |
2011/02/04 12:00
|
| Place | Room 152, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | Algebra Geometrical Seminar |
| Title |
Derived categories and rationality of conic bundles |
| Field |
Algebra
Geometry
|
| Speakers | Marcello Bernardara |
| Affiliation | Universitat Duisburg-Essen |
| Abstract | In a joint work with M. Bolognesi, we show how a conic bundle over a minimal rational surface is rational if and only if its derived category admits a semiorthogonal decomposition via derived categories of smooth projective curves and exceptional objects. This result is based on the reconstruction of the intermediate Jacobian from such a semiorthogonal decomposition. |
| Link | http://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html |