Algebraic Geometry and Arithmetic Curves

Gebonden Engels 2002 9780198502845

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This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. It explains both theory and applications clearly and includes essential background methods. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book is suitable for graduate students.