Algebraic Geometry and Arithmetic Curves

'Will be useful to graduate students as an introduction to arithmetic algebraic geometry, and to more advanced readers and experts in the field.' -EMS 'This book is unique in the current literature on algebraic and arithmetic geography, therefore a highly welcome addition to it, and particularly suitable for readers who want to approach more specialized works in this field with more ease. The exposition is exceptionally lucid, rigourous, coherent and comprehensive.' -Zentralblatt MATH 'A thorough and far-reaching introduction to algebraic geometry in its scheme-theoretic setting... The rich bibliography with nearly 100 references enhances the value of this textbook as a great introduction and source for research.' -Zentralblatt MATHBased on the author's course for first-year graduate students this well-written text explains how the tools of algebraic geometry and of number theory can be applied to a study of curves. The book starts by introducing the essential background material and includes 600 exercises.