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Algebraic geometry and arithmetic curves

Author: Qing Liu
Publisher: Oxford : Oxford University Press, 2002.
Series: Oxford science publications.; Oxford graduate texts in mathematics, 6.
Edition/Format:   Print book : EnglishView all editions and formats
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 9780199202492 0199202494
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 science publications.; Oxford graduate texts in mathematics, 6.
Responsibility: Qing Liu ; translated by Reinie Erné.
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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 Read more...

 
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