Moriwaki presents students, academics, and mathematicians with an exploration of Arakelov Geometry. The book begins with preliminary explorations of mathematical and geometric principles, before going into the 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 Bogolov inequality, and Lang-Bogomolov conjecture. It is suggested that readers have an understanding of the basics of algebraic geometry and the language of schemes. Moriwaki is a faculty member of Kyoto University, Japan. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)