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Cambridge University Press Cambridge Lectures on Vector Bundles - Mathematics Book

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Description

Explore advanced mathematical concepts with Lectures on Vector Bundles, part of the Cambridge Studies in Advanced Mathematics series. This volume provides two comprehensive courses focused on the moduli spaces of vector bundles. The first section covers the classification of vector bundles on algebraic curves and examines the construction and properties of moduli spaces of stable bundles. It includes detailed discussions on Hilbert-Grothendieck schemes and Mumford's geometric invariant theory. The second section investigates the structure of the moduli space of semi-stable sheaves on the projective plane, addressing existence conditions for sheaves of specific rank and Chern Class. This text serves as a specialized resource for researchers and students in applied mathematics and algebraic geometry.

Key Features

This Cambridge University Press publication is part of the Cambridge Studies in Advanced Mathematics series, number 54.

The text provides two detailed courses focusing on the moduli spaces of vector bundles.

The first part covers the classification of vector bundles on algebraic curves and the properties of stable bundle moduli spaces.

Included topics feature Hilbert-Grothendieck schemes and a succinct treatment of Mumford's geometric invariant theory.

The second part examines the structure of the moduli space of semi-stable sheaves on the projective plane.

Content includes existence conditions for sheaves of given rank and Chern Class along with construction ideas.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
28 January 1997
Listed Since
04 January 2007

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