viii CONTENTS
5.1. The automorphism group of a homogeneous curve 76
5.2. The structure of Aut(H) 77
5.3. The twisted polynomial case 78
5.4. On the Auslander-Reiten translation as functor 80
5.5. The quaternion case 82
5.6. The homogeneous curves over the real numbers 82
5.7. Homogeneous curves with finite automorphism group 85
Part 2. The weighted case 87
Chapter 6. Insertion of weights 89
6.1. p-cycles 89
6.2. Insertion of weights into central primes 91
6.3. Automorphism groups for weighted curves 95
Chapter 7. Exceptional objects 97
7.1. Transitivity of the braid group action 97
7.2. Exceptional objects and graded factoriality 99
Chapter 8. Tubular exceptional curves 101
8.1. Slope categories and the rational helix 102
8.2. The index of a tubular exceptional curve 105
8.3. A tubular curve of index three 107
8.4. A related tubular curve of index two 109
8.5. Line bundles which are not exceptional 110
Appendix A. Automorphism groups over the real numbers 113
A.1. Tables for the domestic and tubular cases 113
Appendix B. The tubular symbols 119
Bibliography 121
Index 127
Previous Page Next Page