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Complex Analysis and Geometry Seminar

ON THE RESIDUAL MONGE-AMPERE MASS OF PLURISUBHARMONIC FUNCTIONS WITH SYMMETRY

Long Li (Shanghai Tech University)

Location:  Zoom
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. 

 

Meeting ID: 952 3723 4346 
Passcode: 846718