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Lectures on the Arithmetic Riemann-Roch Theorem by Gerd Faltings

Lectures on the Arithmetic Riemann-Roch Theorem

by Gerd Faltings
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Book cover type: Paperback
  • ISBN13: 9780691025445
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Princeton University Press
  • Publisher Imprint: Princeton University Press
  • Publication Date:
  • Pages: 118
  • Original Price: USD 73.0
  • Language: English
  • Edition: N/A
  • Item Weight: 164 grams
  • BISAC Subject(s): Geometry / Algebraic

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.

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