Algebraic geometry and arithmetic curves / Qing Liu ; translated by Reinie Erné.

This new-in-paperback edition provides a general 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. The first part introduces basic objects such as schemes, morphi...

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Bibliographic Details
Main Author: Liu, Qing, 1963- (Author)
Other Authors: Erné, Reinie (Translator)
Format: eBook
Language:English
French
Published: Oxford ; New York : Oxford University Press, 2006.
Series:Oxford science publications.
Oxford graduate texts in mathematics ; 6.
Subjects:
Online Access:Click for online access
Description
Summary:This new-in-paperback edition provides a general 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. 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 th.
Physical Description:1 online resource (xv, 577 pages) : illustrations.
Bibliography:Includes bibliographical references (pages 557-561) and index.
ISBN:9780191547805
0191547808
9781281341396
1281341398
Language:English.
Source of Description, Etc. Note:Print version record.