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...
| Other Authors: | |
|---|---|
| Format: | Others |
| Language: | English Chinese |
| Published: |
2011
|
| Subjects: | |
| Online Access: | http://library.cuhk.edu.hk/record=b5894786 http://repository.lib.cuhk.edu.hk/en/item/cuhk-327498 |
| Summary: | 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 |
|---|