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Arakelov geometry/ Atsushi Moriwaki ; translated by Atsushi Moriwaki.

By: Series: Translations of mathematical monographs ; v. 244.Publisher: Providence, Rhode Island: American Mathematical Society, 2014Copyright date: c2014Edition: English language editionDescription: ix, 285 pages: illustrations; 27 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781470410742 (hbk. : acid-free paper)
  • 1470410745 (hbk. : acid-free paper)
Uniform titles:
  • Arakerofu kika. English
Subject(s): DDC classification:
  • 516.35 M862a
Contents:
Preliminaries -- Geometry of numbers -- Arakelov geometry on arithmetic curves -- Arakelov geometry on arithmetic surfaces -- Arakelov geometry on general arithmetic varieties -- Arithmetic volume function and its continuity -- Nakai-Moishezon criterion on an arithmetic variety -- Arithmetic Bogomolov inequality -- Lang-Bogomolov conjecture .
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Item type Current library Collection Call number Copy number Status Date due Barcode
Books Books Castorina Estantes Abertas (Open Shelves) Livros (Books) 516.35 M862a 2014 IMPA (Browse shelf(Opens below)) 1 Available 39063000674237
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516.35 M839h 2006 IMPA Homotopy theory of schemes/ 516.35 M839o 2010 IMPA On the cohomology of certain noncompact Shimura varieties/ 516.35 M843a 1991 IMPA Algebraic curves over finite fields/ 516.35 M862a 2014 IMPA Arakelov geometry/ 516.35 M918 1994 IMPA Motives/ 516.35 M918 1994 IMPA Motives/ 516.35 M918 2002 IMPA Motives, Polylogarithms and Hodge Theory: University of California, Irvine, June 1998/

Originally published in Japanese: Arakerofu kika (Tokyo : Iwanam Shoten, 2008).

Includes bibliographical references (pages 279-281) and index.

Preliminaries -- Geometry of numbers -- Arakelov geometry on arithmetic curves -- Arakelov geometry on arithmetic surfaces -- Arakelov geometry on general arithmetic varieties -- Arithmetic volume function and its continuity -- Nakai-Moishezon criterion on an arithmetic variety -- Arithmetic Bogomolov inequality -- Lang-Bogomolov conjecture .

Translated from the Japanese.

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