Yu, Hok Pun. / Thesis submitted in: October 2008. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 55-56). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.6 / Chapter 2 --- Complex Tori --- p.8 / Chapter 2.1 --- Homomorphisms of complex tori --- p.9 / Chapter 2.2 --- Cohomology of Complex Tori --- p.10 / Chapter 3 --- Line bundles on complex tori --- p.11 / Chapter 3.1 --- First Chern classes --- p.11 / Chapter 3.2 --- Semicharacters on line bundles --- p.12 / Chapter 3.3 --- Theorem of the Square --- p.14 / Chapter 4 --- Principally polarized abelian varieties --- p.16 / Chapter 4.1 --- Riemann Relations --- p.17 / Chapter 4.2 --- Characteristics of line bundles --- p.20 / Chapter 4.3 --- Theta Functions --- p.21 / Chapter 4.4 --- The Ox(l) bundle --- p.22 / Chapter 4.5 --- Metric on Ox(l) --- p.23 / Chapter 4.6 --- Abelian Varieties and Elliptic Curves --- p.24 / Chapter 5 --- Isogeny of Abelian Varieties --- p.26 / Chapter 5.1 --- Symmetric Line Bundles --- p.27 / Chapter 5.2 --- Theta Relations --- p.28 / Chapter 5.3 --- Theta Divisors --- p.30 / Chapter 6 --- Jacobians --- p.32 / Chapter 6.1 --- Jacobian as an abelian variety --- p.33 / Chapter 6.2 --- Abel-Jacobi Theorem --- p.36 / Chapter 6.3 --- Torelli´ةs theorem --- p.42 / Chapter 7 --- The Heisenberg Group --- p.43 / Chapter 8 --- Balanced Embedding into the Projective Space --- p.50
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326373 |
| Date | January 2009 |
| Contributors | Yu, Hok Pun., 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, 56 leaves ; 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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