Thesis (Ph. D.)--University of Washington, 2006. / Vita. Includes bibliographical references (p. 63-66).

by Leung Wai-Man Raymond. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1992. / Includes bibliographical references (leaves [1]-[3] (2nd gp.)). / Chapter CHAPTER 0 --- Introduction --- p.1 / Chapter CHAPTER 1 --- Einstein-Hermitian Vector Bundles / Chapter 1.1 --- Preliminaries on Einstein-Hermitian structures --- p.4 / Chapter 1.2 --- Conformal invariance --- p.7 / Chapter 1.3 --- A Chern number inequality --- p.9 / Chapter CHAPTER 2 --- Stable Vector Bundles / Chapter 2.1 --- Coherent analytic sheaves --- p.12 / Chapter 2.2 --- "Torsion-free, reflexive and normal coherent analytic sheaves" --- p.18 / Chapter 2.3 --- Determinant bundles --- p.22 / Chapter 2.4 --- Stable vector bundles --- p.27 / Chapter 2.5 --- Stability of Einstein-Hermitian vector bundles --- p.32 / Chapter CHAPTER 3 --- Existence of Einstein-Hermitian connection on stable vector bundle over a compact Riemann Surface --- p.34 / Chapter CHAPTER 4 --- Existence of Einstein-Hermitian metric on stable vector bundle over a projective algebraic manifold / Chapter 4.1 --- Solution of the evolution equation for finite time --- p.45 / Chapter 4.2 --- Convergence of solution for infinite time --- p.53 / APPENDIX / Chapter I. --- A vanishing theorem of Bochner type and its consequences --- p.67 / Chapter II. --- Uhlenbeck's results on connections with Lp bounds on curvature --- p.69 / REFERENCE

Made available in DSpace on 2015-04-09T12:28:21Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-02-28Bitstream added on 2015-04-09T12:48:18Z : No. of bitstreams: 1 000810685.pdf: 423114 bytes, checksum: d115e8de0825c2a98f8531e8d0a39ce2 (MD5) / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / A fibração de Milnor aparece como a principal ferramenta no estudo local da topologia das singularidades analíticas reais e complexas. Neste trabalho estudaremos o Teorema de Fibração de Milnor e o surpreendente comportamento topológico das Fibras de Milnor. Para tais objetivos, usaremos algumas ferramentas da Geometria Algébrica, Análise Complexa em várias variáeis e um pouco da Teoria de Morse / The Milnor bration appears as the main tool in the topological local study of real and complex analytic singularities. In this work we study the famous Milnor Fibration Theorem, and the surprising topological behavior of the Milnor bres. To reach these objectives we use some tools of classical Algebraic Geometry, Complex Analysis of several variables and also some aspects of Morse Theory

Orientador: João Carlos Ferreira Costa / Banca: Ana Claudia Nabarro / Banca: Luciana de Fátima Martins / Resumo: A fibração de Milnor aparece como a principal ferramenta no estudo local da topologia das singularidades analíticas reais e complexas. Neste trabalho estudaremos o Teorema de "Fibração" de Milnor e o surpreendente comportamento topológico das Fibras de Milnor. Para tais objetivos, usaremos algumas ferramentas da Geometria Algébrica, Análise Complexa em várias variáeis e um pouco da Teoria de Morse / Abstract: The Milnor bration appears as the main tool in the topological local study of real and complex analytic singularities. In this work we study the famous Milnor Fibration Theorem, and the surprising topological behavior of the Milnor bres. To reach these objectives we use some tools of classical Algebraic Geometry, Complex Analysis of several variables and also some aspects of Morse Theory / Mestre

Finitely generated monomial algebras are studied. the bound in Bergman's description of algebras with GK-dimension 1 is improved and similar techniques are used to establish the equivalence of the periodicities of overlap graphs and Hilbert series coefficients. / Ph. D.

Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references. Available also from UMI/Dissertation Abstracts International.

Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references (leaves 106-107). Available also in a digital version from Dissertation Abstracts.

Not available / text

Thesis (M.S. in computer science)--Washington State University, May 2010. / Title from PDF title page (viewed on May 14, 2010). "School of Engineering and Computer Science." Includes bibliographical references (p. 85-90).

Thesis (Ph. D.)--University of Washington, 2006. / Vita. Includes bibliographical references (p. 54-56).