Algebraic Geometry and Arithmetic Curves by Qing Liu, Hardcover, 9780198502845 | Buy online at The Nile
Algebraic Geometry and Arithmetic Curves, 9780198502845
Hardcover
Based on the author’s course for first-year graduate students this text explains how the tools of algebraic geometry and of number theory can be applied to a study of curves. The book starts by introducing the essential background material and includes 600 exercises.

Algebraic Geometry and Arithmetic Curves

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Series:

$218.98

  • Hardcover

    592 pages

  • Release Date

    9 May 2002

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Summary

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 chapteron sheaves of differentials, dualizing sheaves, and…

Book Details

ISBN-13:9780198502845
ISBN-10:0198502842
Author:Qing Liu, Reinie Erne
Publisher:Oxford University Press
Imprint:Oxford University Press
Format:Hardcover
Number of Pages:592
Release Date:9 May 2002
Weight:976g
Dimensions:242mm x 162mm x 37mm
Series:Oxford Graduate Texts in Mathematics (0-19-961947-6)
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Critics Review

Will be useful to graduate students as an introduction to arithmetic algebraic geometry, and to more advanced readers and experts in the field.

Will be useful to graduate students as an introduction to arithmetic algebraic geometry, and to more advanced readers and experts in the field. EMS This 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 at 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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