|
|
Graduate Student Seminar: " Kodaira-Iitaka dimension on subvarieties"
Wed, February 11, 2009 4:00PM - 5:00PM
| Time: | 4:00PM - 5:00PM |
| Location: | Simons Auditorium |
| Speakers: | Travis Kopp, Dr. Travis Kopp |
| Abstract: | Kodaira-Iitaka dimension, \ka(X,L), is an important measurement of the positivity of a line bundle, L, on a complete variety, X. Given an algebraic fiber space, f:X -> Y, and a line bundle on X, the following inequality is well known: \ka(X, L) \leq \ka(X_y, L_y) + dim Y, where y is a general point of Y. We will discuss this inequality (called easy addition) and look at one way of generalizing it to the case of an arbitrary smooth subvariety A lying in a smooth variety X. |
|
