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Author : Matei Toma
Release : 1992
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Holomorphic Vector Bundles on Non-algebraic Surfaces by : Matei Toma
Download or read book Holomorphic Vector Bundles on Non-algebraic Surfaces written by Matei Toma. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Friedman
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 885/5 ( reviews)
Book Synopsis Algebraic Surfaces and Holomorphic Vector Bundles by : Robert Friedman
Download or read book Algebraic Surfaces and Holomorphic Vector Bundles written by Robert Friedman. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they become much more tightly interconnected as the book progresses. Thus vector bundles over curves are studied to understand ruled surfaces, and then reappear in the proof of Bogomolov's inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via Reider's method. Similarly, ruled and elliptic surfaces are discussed in detail, before the geometry of vector bundles over such surfaces is analysed. Many of the results on vector bundles appear for the first time in book form, backed by many examples, both of surfaces and vector bundles, and over 100 exercises forming an integral part of the text. Aimed at graduates with a thorough first-year course in algebraic geometry, as well as more advanced students and researchers in the areas of algebraic geometry, gauge theory, or 4-manifold topology, many of the results on vector bundles will also be of interest to physicists studying string theory.
Author : Vasile Brinzanescu
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 451/5 ( reviews)
Book Synopsis Holomorphic Vector Bundles over Compact Complex Surfaces by : Vasile Brinzanescu
Download or read book Holomorphic Vector Bundles over Compact Complex Surfaces written by Vasile Brinzanescu. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. Special features of the nonalgebraic surfaces case, like irreducible vector bundles and stability with respect to a Gauduchon metric, are considered. The reader requires a grounding in geometry at graduate student level. The book will be of interest to graduate students and researchers in complex, algebraic and differential geometry.
Author : Shoshichi Kobayashi
Release : 2014-07-14
Genre : Mathematics
Kind : eBook
Book Rating : 682/5 ( reviews)
Book Synopsis Differential Geometry of Complex Vector Bundles by : Shoshichi Kobayashi
Download or read book Differential Geometry of Complex Vector Bundles written by Shoshichi Kobayashi. This book was released on 2014-07-14. Available in PDF, EPUB and Kindle. Book excerpt: Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Robin Hartshorne
Release : 2009-11-12
Genre : Mathematics
Kind : eBook
Book Rating : 966/5 ( reviews)
Book Synopsis Deformation Theory by : Robin Hartshorne
Download or read book Deformation Theory written by Robin Hartshorne. This book was released on 2009-11-12. Available in PDF, EPUB and Kindle. Book excerpt: The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.
