Arakelov geometry/
Moriwaki, Atsushi, 1960-
Arakelov geometry/ Atsushi Moriwaki ; translated by Atsushi Moriwaki. - English language edition. - ix, 285 pages: illustrations; 27 cm. - Translations of mathematical monographs; volume 244 . - Translations of mathematical monographs, v. 244. .
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.
9781470410742 (hbk. : acid-free paper) 1470410745 (hbk. : acid-free paper)
2014021155
Arakelov theory..
Geometry, Algebraic.
516.35 / M862a
Arakelov geometry/ Atsushi Moriwaki ; translated by Atsushi Moriwaki. - English language edition. - ix, 285 pages: illustrations; 27 cm. - Translations of mathematical monographs; volume 244 . - Translations of mathematical monographs, v. 244. .
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.
9781470410742 (hbk. : acid-free paper) 1470410745 (hbk. : acid-free paper)
2014021155
Arakelov theory..
Geometry, Algebraic.
516.35 / M862a