Provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. This book studies the case of elliptic curves, and concludes with the fundamental theorem of stable ...

Provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. This book studies the case of elliptic curves, and concludes with the fundamental theorem of stable reduction of Deligne-Mumford.