Chan Kwok Wai. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 78-81). / Abstracts in English and Chinese. / Chapter 1 --- Introduction to Toric Geometry --- p.7 / Chapter 1.1 --- Definitions of Toric Varieties --- p.7 / Chapter 1.2 --- Properties of Toric Varieties --- p.11 / Chapter 1.2.1 --- Smoothness --- p.12 / Chapter 1.2.2 --- Compactness --- p.12 / Chapter 1.2.3 --- Stratification --- p.13 / Chapter 1.3 --- Divisors on Toric Varieties --- p.14 / Chapter 1.3.1 --- Weil divisors --- p.14 / Chapter 1.3.2 --- Cartier divisors --- p.14 / Chapter 1.4 --- Polarized Toric Varieties --- p.16 / Chapter 2 --- Calabi-Yau Manifolds from Toric Varieties --- p.19 / Chapter 2.1 --- Toric Fano Varieties --- p.19 / Chapter 2.2 --- Calabi-Yau Hypersurf aces in Toric Fano Varieties --- p.23 / Chapter 2.3 --- Computation of Hodge Numbers of Zf --- p.28 / Chapter 2.3.1 --- The results of Danilov and Khovanskii --- p.29 / Chapter 2.3.2 --- "The Hodge number hn-2,1(Zf)" --- p.31 / Chapter 2.3.3 --- "The Hodge number hl,1(zf)" --- p.32 / Chapter 2.4 --- Calabi-Yau Complete Intersections in Toric Fano Va- rieties --- p.34 / Chapter 3 --- Calabi-Yau Manifolds by Quotients --- p.41 / Chapter 3.1 --- Free Group Actions --- p.41 / Chapter 3.2 --- Crepant Resolutions of Orbifolds --- p.44 / Chapter 3.3 --- Examples From Complex Tori --- p.49 / Chapter 3.4 --- Complex Multiplication and Calabi-Yau Threefolds --- p.51 / Chapter 4 --- Calabi-Yau Manifolds by Coverings --- p.56 / Chapter 4.1 --- Cyclic Coverings --- p.56 / Chapter 4.2 --- Admissible Blow-ups --- p.57 / Chapter 4.3 --- Double Covers of P3 Branched Along Octic Arrang- ments --- p.59 / Chapter 4.4 --- The Euler Number of X --- p.61 / Chapter 4.5 --- The Hodge Numbers of X --- p.65 / Chapter 4.6 --- K3-Fibrations and Modularity --- p.69 / Chapter 0 --- Bibliography --- p.78
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324723 |
| Date | January 2004 |
| Contributors | Chan, Kwok Wai., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 81 leaves : ill. ; 30 cm. |
| Rights | Use 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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