ON THE RESIDUAL MONGE-AMPERE MASS OF PLURISUBHARMONIC FUNCTIONS WITH SYMMETRY
Long Li (Shanghai Tech University)
Date & time: Friday, 24 March 2023 at 10:30AM - 11:30PM
Abstract: 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.