L2 extension theorems and their applications in several complex variables

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2022-8

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Çoğalmış, Aylin

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In this thesis we will survey existence of the solutions of d-bar equation with L2 estimates. The main part of the thesis involves the Ohsawa-Takegoshi Extension Theorem and its applications to the well-known problems so called Openness Conjecture and Suita Conjecture. In the last part, we consider some questions posed by Ohsawa and related answers to these questions.

Subject Keywords

d-bar solutions with L2 estimates, Ohsawa-Takegoshi Extension Theorem, Openness Conjecture, Suita Conjecture

URI

https://hdl.handle.net/11511/98597

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

A. Çoğalmış, “L2 extension theorems and their applications in several complex variables,” M.S. - Master of Science, Middle East Technical University, 2022.