Title: Partial $C^0$ Estimate for Kahler Einstein metrics with cone angle approaches $2\pi$

Speaker: Yiyan Xu (Peking University)

Venue: Room 09 at Quan Zhai, BICMR

Time: May 21, Tuesday, 10:00am - 12:00pm

Abstract: We will go on talking about Tian’s paper on the Partial C^0 estimate. By apply Tian-Wang’s work on almost Kahler-Einstein metrics, one can show the Gromov-Hausdorff limits for Conic Kahler Einstein metrics with cone angle approaches $2\pi$, as well as the tangent cone, is smooth outside a co-dimension 4 set, and the limits of the divisor is also a smooth divisor. Then one can construct good cutoff function and holomorphic section as the previous case for cone angle strictly less than $2\pi$.