[PDF.80rg] Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127)

Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127)

[PDF.tg73] Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127)

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 | #4718474 in Books |  Princeton University Press |  1992-02-19 |  1992-03-10 | Format: Deluxe Edition | Original language:English | PDF # 1 |  9.00 x.29 x6.00l,.36 | File type: PDF | 118 pages

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||3 of 3 people found the following review helpful.| Deep but important|By Dr. Lee D. Carlson|The Riemann-Roch theorem has come a long way since its origins in the work of Bernhard Riemann 154 years ago. Riemann was attempting to establish the existence of complex functions on multiply-connected surfaces with no boundary. A surface that is (2p + 1)-connected for a positive integer p can be represented as a 4p-sided polygon after| |"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it."--Zentralblatt für Mathematik

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.

You can specify the type of files you want, for your gadget.Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127)   |  Gerd Faltings. I have read it a couple of times and even shared with my family members. Really good. Couldnt put it down.

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