03-21【Long Li】 On the Residual Monge-Ampere Mass of Plurisubharmonic Functions with Symmetry

Time:2023-03-14Views:40

Speaker:Long Li(ShanghaiTech University)

Time: 14:30-15:30, Mar 21, 2023

Room:Room 1124, Material Science Research Building (Section C)



In this talk, we will study the residual Monge-Ampere mass of a plurisubharmonic function with isolated singularity at the origin in C^2. We proved that the residual mass is zero if its Lelong number is zero at the origin, provided that it is S1-invariant and radially regular. This result answers the zero mass conjecture raised by Guedj and Rashkovskii in this special case.