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Lectures on the Arithmetic Riemann-Roch Theorem (Annals of Mathematics Studies, 127) - Tapa dura

Libro 55 de 202: Annals of Mathematics Studies

Faltings, Gerd

 
9780691087719: Lectures on the Arithmetic Riemann-Roch Theorem (Annals of Mathematics Studies, 127)

Sinopsis

The arithmetic Riemann-Roch theorem has been shown recently by Bismut-Gillet-Soule. 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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Críticas

"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it."--Zentralblatt für Mathematik

Reseña del editor


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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