No description available.

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

No description available.

München, Univ., Diss., 2001. / Computerdatei im Fernzugriff.

Mainz, University, Diss., 2005.

Orientador: Marcos Benevenuto Jardim / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Educação / Made available in DSpace on 2018-08-23T02:27:37Z (GMT). No. of bitstreams: 1 Barbosa_RodrigodeMenezes_M.pdf: 1767185 bytes, checksum: abee129d89bf1e5149600bcac1bb76be (MD5) Previous issue date: 2013 / Resumo: Neste trabalho estudamos teorias de calibre em variedades de dimensão alta, com ênfase em variedades Calabi-Yau, G2 e Spin(7). Começamos desenvolvendo a teoria de conexões em fibrados e seus grupos de holonomia, culminando com o teorema de Berger que classifica as possíveis holonomias de variedades Riemannianas e o teorema de Wang relacionando a holonomia à existência de espinores paralelos. A seguir, descrevemos em mais detalhes as estruturas geométricas resultantes da redução da holonomia, incluindo aspectos topológicos (homologia e grupo fundamental) e geométricos (curvatura). No último capítulo desenvolvemos o formalismo de teoria de calibre em dimensão quatro: introduzimos o espaço de moduli de instantons e realizamos as reduções dimensionais das equações de anti-autodualidade. Com esta motivação procedemos a estudar teorias de calibre em variedades de holonomia especial e também algumas de suas reduções dimensionais / Abstract: In this work we study gauge theory on high dimensional manifolds with emphasis on Calabi-Yau, G2 and Spin(7) manifolds. We start by developing the theory of connections on fiber bundles and their associated holonomy groups, culminating with Berger's theorem classifying the holonomies of RIemannian manifolds and Wang's theorem relating the holonomy groups to the existence of parallel spinors. We proceed to describe in more detail the geometric structures resulting from holonomy reduction, including topological (homology and fundamental group) and geometric (curvature) aspects. In the last chapter we develop the formalism of gauge theory in dimension four: we introduce the moduli space of instantons and the dimensional reductions of the anti-selfduality equations. With this motivation in mind, we proceed to study gauge theories on manifolds of special holonomy and also some of their dimensional reductions / Mestrado / Matematica / Mestre em Matemática

No description available.

Zhang Yi. / "May 2003." / Thesis (Ph.D.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (p. 141-146). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese.

Texte remanié de: Dissertation--Mathematik--Mainz--Johannes Gutenberg-Universität, 2005. / Bibliogr. p. 187-191.

Duisburg, Essen, University, Diss., 2007.