Holomorphic Vector Bundles over Compact Complex Surfaces

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Author :
Release : 2006-11-14
Genre : Mathematics
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Book Rating : 451/5 ( reviews)

Holomorphic Vector Bundles over Compact Complex Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Holomorphic Vector Bundles over Compact Complex Surfaces write by Vasile Brinzanescu. This book was released on 2006-11-14. Holomorphic Vector Bundles over Compact Complex Surfaces available in PDF, EPUB and Kindle. 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.

Holomorphic Vector Bundles Over Compact Complex Surfaces

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Author :
Release : 1996
Genre : Mathematics
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Book Rating : 184/5 ( reviews)

Holomorphic Vector Bundles Over Compact Complex Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Holomorphic Vector Bundles Over Compact Complex Surfaces write by Vasile Brînzănescu. This book was released on 1996. Holomorphic Vector Bundles Over Compact Complex Surfaces available in PDF, EPUB and Kindle.

Algebraic Surfaces and Holomorphic Vector Bundles

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 885/5 ( reviews)

Algebraic Surfaces and Holomorphic Vector Bundles - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Surfaces and Holomorphic Vector Bundles write by Robert Friedman. This book was released on 2012-12-06. Algebraic Surfaces and Holomorphic Vector Bundles available in PDF, EPUB and Kindle. 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.

Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6

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Release : 2020-09-01
Genre : Mathematics
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Book Rating : 218/5 ( reviews)

Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6 write by Robert C. Gunning. This book was released on 2020-09-01. Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6 available in PDF, EPUB and Kindle. The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6, will be forthcoming.

Differential Geometry of Complex Vector Bundles

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Release : 2014-07-14
Genre : Mathematics
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Book Rating : 682/5 ( reviews)

Differential Geometry of Complex Vector Bundles - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Geometry of Complex Vector Bundles write by Shoshichi Kobayashi. This book was released on 2014-07-14. Differential Geometry of Complex Vector Bundles available in PDF, EPUB and Kindle. 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.