# An arithmetic Riemann-Roch theorem for singular arithmetic surfaces

### About this Title

**Wayne Aitken**

Publication: Memoirs of the American Mathematical Society

Publication Year
1996: Volume 120, Number 573

ISBNs: 978-0-8218-0407-0 (print); 978-1-4704-0158-0 (online)

DOI: http://dx.doi.org/10.1090/memo/0573

MathSciNet review: 1303089

MSC: Primary 14G40; Secondary 11G30, 14C40, 58G26

### Table of Contents

**Chapters**

- 1. The intersection pairing for one-dimensional schemes
- 2. The intersection pairing for families of one-dimensional schemes
- 3. The Riemann-Roch isomorphism
- 4. Intersection functions on complex curves
- 5. The arithmetic Riemann-Roch isomorphism