Wong, Sen. / Thesis submitted in: November 2006. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaf 85). / Abstracts in English and Chinese. / Chapter 1 --- From algebraic sets to Preschemes --- p.5 / Chapter 1.1 --- Affine varieties and prevarieties --- p.5 / Chapter 1.2 --- Affine schemes and preschemes --- p.13 / Chapter 1.3 --- Morphisms --- p.16 / Chapter 1.4 --- Prevarieties vs Preschemes --- p.29 / Chapter 1.5 --- Summary and Products --- p.37 / Chapter 2 --- More on prevarieties --- p.43 / Chapter 2.1 --- Introduction --- p.43 / Chapter 2.2 --- Subprevarieties and product of prevarieties --- p.48 / Chapter 2.3 --- Dominating and birational morphisms --- p.60 / Chapter 2.4 --- Complete varieties --- p.64 / Chapter 2.5 --- Chow's Theorem --- p.68 / Chapter 3 --- From preschemes to schemes --- p.71 / Chapter 3.1 --- Introduction --- p.71 / Chapter 3.2 --- Open subpreschemes and Open immersions --- p.74 / Chapter 3.3 --- Closed subpreschemes and Closed immersions --- p.76 / Chapter 3.4 --- Schemes --- p.79 / Chapter A --- Hilbert's Nullstellensatz --- p.81 / Bibliography --- p.85
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325866 |
| Date | January 2007 |
| Contributors | Wong, Sen., 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, 85 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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