Classification of non-Kähler surfaces and locally conformally Kähler geometry

Author:

Verbitsky M. S.,Vuletescu V.,Ornea L.

Abstract

Abstract The Enriques–Kodaira classification treats non-Kähler surfaces as a special case within the Kodaira framework. We prove the classification results for non-Kähler complex surfaces without relying on the machinery of the Enriques–Kodaira classification, and deduce the classification theorem for non-Kähler surfaces from the Buchdahl–Lamari theorem. We also prove that all non-Kähler surfaces which are not of class VII are locally conformally Kähler. Bibliography: 64 titles.

Funder

National Council for Scientific and Technological Development

Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Romania

Publisher

IOP Publishing

Subject

General Mathematics

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1. Lee classes on LCK manifolds with potential;Tohoku Mathematical Journal;2024-03-01

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