Article

Potential theory on an analytic surface

B. I. AbdullaevUrgench State University; V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Khorezm BranchKh.Q. KamolovUrgench State University

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Naukijournal2023en

ABI

Abstract

The work is devoted to the theory of pluripotential on analytic surfaces. The pluripotential theory on the complex space ${\mathbb C}^{n},$ as well as on the Stein complex manifold $X\subset{\mathbb C}^{N}$ (without a singular set) have been studied in enough detail. In this work, we propose a new approach for studying the main objects of potential theory on an analytic set with a non-empty singular (critical) set.

Topics

Geometry and complex manifolds Holomorphic and Operator Theory Advanced Algebra and Geometry

Identifiers

DOI: 10.35634/vm230101

Citations and references

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