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[null,"1.","Record Nr.",null,"UNINA9910154744103321"]
[null,null,"Autore",null,"Faltings Gerd"]
[null,null,"Titolo",null,"Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings"]
[null,null,"Pubbl/distr/stampa",null,"Princeton, NJ : , : Princeton University Press, , [2016]"]
[{"$nulls":4},"©1992"]
[null,null,"ISBN",null,"1-4008-8247-8"]
[null,null,"Descrizione fisica",null,"1 online resource (113 pages)"]
[null,null,"Collana",null,"Annals of Mathematics Studies ; ; 309"]
[null,null,"Disciplina",null,"516.3/5"]
[null,null,"Soggetti",null,"Geometry, Algebraic"]
[{"$nulls":4},"Riemann-Roch theorems"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES"]
[null,null,null,"Sommario/riassunto","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."]