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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|Size: ||9.6 MB|
|Publisher: ||Princeton University Press|
|Date published: || 2016|
|ISBN: ||9781400882472 (DRM-PDF)|
|Read Aloud: ||not allowed|