# Noncommutative Curves of Genus Zero

Share this page
*Dirk Kussin*

#### Table of Contents

# Table of Contents

## Noncommutative Curves of Genus Zero

- Contents vii8 free
- Introduction 112 free
- Chapter 0. Background 1122 free
- Part 1. The homogeneous case 2738
- Chapter 1. Graded factoriality 2940
- Chapter 2. Global and local structure of the sheaf category 4960
- Chapter 3. Tubular shifts and prime elements 6172
- Chapter 4. Commutativity and multiplicity freeness 6980
- Chapter 5. Automorphism groups 7586
- 5.1. The automorphism group of a homogeneous curve 7687
- 5.2. The structure of Aut(H) 7788
- 5.3. The twisted polynomial case 7889
- 5.4. On the Auslander-Reiten translation as functor 8091
- 5.5. The quaternion case 8293
- 5.6. The homogeneous curves over the real numbers 8293
- 5.7. Homogeneous curves with finite automorphism group 8596

- Part 2. The weighted case 8798
- Appendix A. Automorphism groups over the real numbers 113124
- Appendix B. The tubular symbols 119130
- Bibliography 121132
- Index 127138