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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9942
Title: | L2 methods in complex analysis |
Authors: | BORAH, DIGANTA R, ARAVIND Dept. of Mathematics 20201218 |
Keywords: | Research Subject Categories::MATHEMATICS |
Issue Date: | May-2025 |
Citation: | 82 |
Abstract: | The main goal of this expository thesis is to study the L2-technique of Hörmander estimates. Beginning with some elementary considerations, such as Poincaré’s theorem, domains of holomorphy and the Hartogs theorem, we deal with two interesting applications: 1) An elegant solution to the celebrated Levi problem 2) Holomorphic extensions in the sense of Ohsawa-Takegoshi We conclude the thesis by discussing the corresponding analogue of the Hörmander’s estimate on compact Kähler manifolds. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9942 |
Appears in Collections: | MS THESES |
Files in This Item:
File | Description | Size | Format | |
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20201218_Aravind_R_MS_Thesis.pdf | MS Thesis | 908.2 kB | Adobe PDF | View/Open |
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