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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 (1991): Primary 14G40; Secondary 11G30, 14C40, 58G26

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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