Algebraic Geometry and Arithmetic Curves - Liu, Qing (, Charge de recherche, Centre National de la Recherche Scientifique (CNRS), Laboratoire de Theorie des Nombres et d'Algorithmique Arithmetique, Universite Bordeaux 1) a Erne, Reinie

Provides an introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. This book explains both theory and applications and includes essential background methods. It also includes the necessary material on commutative algebra.