Algebraic Geometry and Arithmetic Curves

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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. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and grothendieck's duality theory. ...

Algebraic Geometry and Arithmetic Curves 2006, Oxford University Press, USA

ISBN-13: 9780199202492

Trade paperback

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Algebraic Geometry and Arithmetic Curves 2002, OUP Oxford, Oxford, England

ISBN-13: 9780198502845

Hardcover

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