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Algebraic geometry and arithmetic curves

Author: Qing Liu
Publisher: Oxford : Oxford University Press, 2002.
Series: Oxford graduate texts in mathematics, 6; Oxford science publications.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Provides an introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. This book explains both theory and applications  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Qing Liu
ISBN: 0198502842 9780198502845
OCLC Number: 60613732
Language Note: Translated from the French.
Description: xv, 576 pages : illustrations ; 25 cm.
Contents: Some topics in commutative algebra --
General properties of schemes --
Morphisms and base change --
Some local properties --
Coherent sheaves and Čech cohomology --
Sheaves of differentials --
Divisors and applications to curves --
Birational geometry of surfaces --
Regular surfaces --
Reduction of algebraic curves.
Series Title: Oxford graduate texts in mathematics, 6; Oxford science publications.
Responsibility: Qing Liu ; translated by Reinie Erné.
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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 Read more...

 
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