##### Department of Mathematics,

University of California San Diego

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### Joint UCI-UCSD Geometry Seminar

## Chi Li

#### Princeton University

## Partial $C^0$ estimate on toric Fano manifolds

##### Abstract:

Abstract: In the continuity method to Kahler-Einstein problem, Tian conjectured the Bergman kernels of solution metrics are uniformly bounded below away from 0. I will show that Tian's partial $C^0$ estimate holds on any toric Fano manifold. This allows us to calculate the multiplier ideal sheaf for certain toric Fano manifolds with large symmetry. This is an corollary of my earlier study on the limit behavior of solutions to continuity method on toric Fano manifolds.

Host: Ben Weinkove

### May 1, 2012

### 3:00 PM

### AP&M 7321

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