Please use this identifier to cite or link to this item: 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
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