Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127) (Annals of Mathematics Studies, #127)

by Gerd Faltings

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The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
  • ISBN13 9781400882472
  • Publish Date 2 March 2016 (first published 10 March 1992)
  • Publish Status Active
  • Publish Country US
  • Imprint Princeton University Press