The core sets of complex manifolds and their properties

Date

2026-8-7

Author

Demir, Mustafa Yiğit

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In this thesis, we review foundational literature investigating the properties and characterizations of core sets of complex manifolds, which are constructed utilizing plurisubharmonic functions. In the first framework, the relationship between the core sets and plurisubharmonic separation of complex manifolds is established, followed by an analysis of their geometric construction. In the second framework, a variety of core sets are defined depending on the differentiability and continuity of the underlying plurisubharmonic functions, and the relations between these sets are thoroughly investigated.

Subject Keywords

Plurisubharmonicity, Core set, Complex manifold, Pluripotential theory

URI

https://hdl.handle.net/11511/120634

Collections

Graduate School of Natural and Applied Sciences, Thesis