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Author : Iwona Maria Grzegorczyk
Release : 1990
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Vector Bundles on Algebraic Curves by : Iwona Maria Grzegorczyk
Download or read book Vector Bundles on Algebraic Curves written by Iwona Maria Grzegorczyk. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fedor Bogomolov
Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 622/5 ( reviews)
Book Synopsis Algebraic Curves and One-Dimensional Fields by : Fedor Bogomolov
Download or read book Algebraic Curves and One-Dimensional Fields written by Fedor Bogomolov. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This text covers the essential topics in the geometry of algebraic curves, such as line and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. It demonstrates how curves can act as a natural introduction to algebraic geometry.
Author : Andrej N. Tjurin
Release : 2008
Genre : Vector bundles
Kind : eBook
Book Rating : 741/5 ( reviews)
Book Synopsis Vector Bundles by : Andrej N. Tjurin
Download or read book Vector Bundles written by Andrej N. Tjurin. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 : N. J. Hitchin
Release : 1995-03-16
Genre : Mathematics
Kind : eBook
Book Rating : 783/5 ( reviews)
Book Synopsis Vector Bundles in Algebraic Geometry by : N. J. Hitchin
Download or read book Vector Bundles in Algebraic Geometry written by N. J. Hitchin. This book was released on 1995-03-16. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.
