On the holomorphic convexity of reductive Galois coverings over compact Kahler surfaces

2022-05-06

Speaker: 刘远博士, University at Buffalo, The State University of New York

Title:

On the holomorphic convexity of reductive Galois coverings over compact Kahler surfaces

Time & Venue:

2022.05.06 10:00-11:00 Zoom ID: 82008380368 Password: 1728

Abstract:

This talk generalizes the result of Katzarkov and Ramachandran from algebraic surfaces to Kahler surfaces. We follow their argument to prove the holomorphic convexity of a reductive Galois covering over a compact Kahler surface which does not have two ends, except that we replace the p-adic factorization theorem by an analysis of the singularities of the continuous subanalytic plurisubharmonic exhaustion function.