Vector Bundles in Algebraic Geometry
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Vector Bundles in Algebraic Geometry by N. J. Hitchin
Book DescriptionThe study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts, largely from mathematical physics, whilst retaining its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on Vector Bundles in Algebraic Geometry brought together some of the leading researchers in the field to explore further these interactions. This book is a collection of survey articles by the main speakers at the symposium and presents to the mathematical world an overview of the key areas of research involving vector bundles. Topics covered include those linking gauge theory and geometric invariant theory such as augmented bundles and coherent systems; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal field theory and the moduli spaces of bundles on curves; the Horrocks-Mumford bundle and codimension 2 subvarieties in P4 and P5; exceptional bundles and stable sheaves on projective space.
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Book DetailsISBN: 9780521498784
(228mm x 152mm x 20mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 16-Mar-1995
Country of Publication: United Kingdom
Books By Author N. J. Hitchin
Integrable Systems, Paperback (March 2013)
Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.
Surveys in Geometry and Number Theory, Paperback (January 2007)
A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.
Methods in Banach Space Theory, Paperback (November 2006)
A comprehensive overview of modern Banach space theory.
Integral Closure of Ideals, Rings, and Modules, Paperback (October 2006)» View all books by N. J. Hitchin
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
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