Vector Bundles and Their Applications - 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 Vector Bundles and Their Applications write by Glenys Luke. This book was released on 2013-03-09. Vector Bundles and Their Applications available in PDF, EPUB and Kindle. The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics.
Algebraic Surfaces and Holomorphic Vector Bundles
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.
Cohomology of Vector Bundles and Syzygies
Cohomology of Vector Bundles and Syzygies - 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 Cohomology of Vector Bundles and Syzygies write by Jerzy Weyman. This book was released on 2003-06-09. Cohomology of Vector Bundles and Syzygies available in PDF, EPUB and Kindle. The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained. The starting point is a definition of Schur functors, and these are discussed from both an algebraic and geometric point of view. Then a chapter on various versions of Bott's Theorem leads on to a careful explanation of the technique itself, based on a description of the direct image of a Koszul complex. Applications to determinantal varieties follow, plus there are also chapters on applications of the technique to rank varieties for symmetric and skew symmetric tensors of arbitrary degree, closures of conjugacy classes of nilpotent matrices, discriminants and resultants. Numerous exercises are included to give the reader insight into how to apply this important method.
Moduli Spaces and Vector Bundles
Moduli Spaces and 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 Moduli Spaces and Vector Bundles write by Steve Bradlow. This book was released on 2009-05-21. Moduli Spaces and Vector Bundles available in PDF, EPUB and Kindle. Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Vector Bundles
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 Vector Bundles write by Andrej N. Tjurin. This book was released on 2008. Vector Bundles available in PDF, EPUB and Kindle. This is the first volume of a three volume collection of Andrey Nikolaevich Tyurin's Selected Works. It includes his most interesting articles in the field of classical algebraic geometry, written during his whole career from the 1960s. Most of these papers treat different problems of the theory of vector bundles on curves and higher dimensional algebraic varieties, a theory which is central to algebraic geometry and most of its applications.
