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A survey on Okounkov bodies.

Lee, King Leung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leave 95). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.6 / Chapter 1.1 --- Organization --- p.10 / Chapter 2 --- Semigroups and Cones --- p.13 / Chapter 2.1 --- Relation between Semigroups and Cones --- p.13 / Chapter 2.2 --- Subadditive Functions on Semigroups --- p.23 / Chapter 2.3 --- Relation between Cones and Bases --- p.29 / Chapter 3 --- General Theories of Okounkov Bodies --- p.33 / Chapter 3.1 --- Okounkov Bodies and Volumes --- p.33 / Chapter 3.2 --- Relation of Subadditive Functions on Semigroups and Okounkov Bodies --- p.39 / Chapter 3.3 --- Convex Functions on Okounkov Bodies --- p.47 / Chapter 4 --- Okounkov Bodies and Complex Geometry --- p.55 / Chapter 4.1 --- Holomorphic Line Bundles --- p.55 / Chapter 4.2 --- Chebyshev Transform --- p.65 / Chapter 4.3 --- Bernstein-Markov Norms --- p.74 / Chapter 5 --- Applications of Okounkov Bodies --- p.81 / Chapter 5.1 --- Relative Energy of Weights --- p.81 / Chapter 5.2 --- Computational Methods and Some Examples --- p.89 / Bibliography --- p.95

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327498
Date January 2011
ContributorsLee, King Leung., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 95 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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