Back to Algebraic Geometry Seminar: Spring 2012
Algebraic Geometry Seminar
Date: Tuesday, Feb 21, 2012
Time: 3:30PM - 4:30PM
Location: LCB 222
Ching-Jui Lai
University of Utah
Title |
Bounding volumes of singular Fano three folds |
Abstract |
Mildly singular Fano varieties of Picard number one are important objects to study from the minimal model program point of view. For the set of three dimensional (\epsilon)-klt log (\mathbb Q)-Fano pairs ((X,\Delta)) of Picard number one, we show that there is a volume bound (-(K_X+\Delta)^3\leq M(3,\epsilon)) depending only (\epsilon). This result is related to the Borisov-Alexeev-Borisov conjecture which asserts boundedness of the set of n-dimensional (\epsilon)-klt log (\mathbb Q)-Fano varieties. |
Algebraic Geometry