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Lectures on the Arithmetic Riemann-Roch Theorem
Paperback
Series: Annals of Mathematics Studies, Book 127
ISBN13: 9780691025445
Publisher: Princeton Univ Pr
Published: Mar 10 1992
Pages: 118
Weight: 0.36
Height: 0.30 Width: 6.10 Depth: 9.25
Language: English
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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