Algebraic Geometry and Arithmetic Curves, 9780199202492
Paperback
Schemes, curves, and arithmetic surfaces: a journey into algebraic geometry.

Algebraic Geometry and Arithmetic Curves

$126.81

  • Paperback

    600 pages

  • Release Date

    29 June 2006

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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 cohomolog…

Book Details

ISBN-13:9780199202492
ISBN-10:0199202494
Author:Qing Liu, Erne, Reinie
Publisher:Oxford University Press
Imprint:Oxford University Press
Format:Paperback
Number of Pages:600
Release Date:29 June 2006
Weight:869g
Dimensions:232mm x 156mm x 33mm
Series:Oxford Graduate Texts in Mathematics
What They're Saying

Critics Review

Review from previous edition Will be useful to graduate students as an introduction to arithmetic algebraic geometry, and to more advanced readers and experts in the field.'EMSThis book is unique in the current literature on algebraic and arithmetic geometry, therefore a highly welcome addition to it, and particularly suitable for readers who want to approach more specialized works in this field with more ease. The exposition is exceptionally lucid, rigorous, coherent and comprehensive.‘Zentralblatt MATH`A thorough and far-reaching introduction to algebraic geometry in its scheme-theoretic setting … The rich bibliography with nearly 100 references enhances the value of this textbook as a great introduction and source for research.‘Zentralblatt MATH

About The Author

Qing Liu

Qing Liu is Charge de recherche, Centre National de la Recherche Scientifique (CNRS), Laboratoire de Theorie des Nombres et d’Algorithmique Arithmetique, Universite Bordeaux 1.

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