Lectures in mathematics : Kyoto University

vol. 3

On classification of ruled surfaces / by Masaki Maruyama
c1970

PDF

Introduction 1
Chapter 0. Some preliminary results 3
Chapter I. Vector bundles and P^1-bundles 6
§ 1. Some preliminary lemmas 6
§ 2. Invariants and classification 10
§ 3. Geometric meaning of invariants 15
Chapter II. Atiyah's methods 22
§ 1. A-bundles 22
§ 2. Geometry of A-bundles 26
§ 3. Comparison with the results of Chapter I 34
Chapter III. Elementary transformations 36
§ 1. General results 36
§ 2. Special cases 59
Chapter IV. Models and special cases 61
§ 1. Decomposable (G_m-) bundles 61
§ 2. Special cases 63
References 74
連絡先・所在地・交通案内 | Site Map | ©2006 Mathematical Library, Faculty of Sciece, Kyoto University. All Rights Reserved.