Overview

This monograph concerns the smooth classification of a certain class of algebraic surfaces, namely regular elliptic surfaces of geometric genus one, (elliptic surfaces with bl = 0 and b2+ = 3). The authors give a complete classification of these surfaces up to diffeomorphism. They achieve this result by partially computing one of Donaldson's polynomial invariants. The computation is carried out using techniques from algebraic geometry. In these computations, both the basic facts about the Donaldson invariants and the relationship of the moduli space of ASD connections with the moduli space of stable bundles are assumed known. Some familiarity with the basic facts of the theory of moduli of sheaves and bundles on a surface is also assumed.

Full Product Details

Author:   M. Niss ,  John W. Morgan ,  Kieran G. O'Grady
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1993 ed.
Volume:   1545
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.760kg
ISBN:  

9783540566748

ISBN 10:   3540566740
Pages:   224
Publication Date:   30 August 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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