Vector Bundles - Vol 1 - 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 - Vol 1 write by . This book was released on 1983-02-18. Vector Bundles - Vol 1 available in PDF, EPUB and Kindle. Vector Bundles - Vol 1
Vector Bundles and Their Applications
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.
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 on Complex Projective Spaces
Vector Bundles on Complex Projective Spaces - 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 on Complex Projective Spaces write by Christian Okonek. This book was released on 2013-11-11. Vector Bundles on Complex Projective Spaces available in PDF, EPUB and Kindle. These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = Fn. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some funda mental results from these fields are summarized at the beginning. One of the authors gave a survey in the Seminaire Bourbaki 1978 on the current state of the classification of holomorphic vector bundles overFn. This lecture then served as the basis for a course of lectures in Gottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the introductory nature of this book we have had to leave out some difficult topics such as the restriction theorem of Barth. As compensation we have appended to each sec tion a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of paragraphs. Each section is preceeded by a short description of iv its contents.
