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

2021/10/05 by Yuan Liu, Liu, Yuan
Mathematics · #32E05 #32E40 and 32Q15 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2110.02397

openalex publication_date 2021/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article generalizes the result of Katzarkov and Ramachandran from algebraic surfaces to Kähler surfaces. We follow their argument to prove the holomorphic convexity of a reductive Galois covering over a compact Kähler 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.

Citations

• Harmonic maps into singular spaces and p -adic superrigidity for lattices in groups of rank one

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