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Algebraic geometry and arithmetic curves

Author: Qing Liu; Reinie Erné
Publisher: Oxford : Oxford University Press, 2002.
Series: Oxford graduate texts in mathematics; Oxford science publications
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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Document Type: Book
All Authors / Contributors: Qing Liu; Reinie Erné
ISBN: 0198502842 9780198502845
OCLC Number: 469274980
Notes: Bibliogr. p. [557]-561. Index.
Description: XV-576 p. : ill. ; 24 cm.
Contents: Introduction ; 1. Some topics in commutative algebra ; 2. General Properties of schemes ; 3. Morphisms and base change ; 4. Some local properties ; 5. Coherent sheaves and Cech cohmology ; 6. Sheaves of differentials ; 7. Divisors and applications to curves ; 8. Birational geometry of surfaces ; 9. Regular surfaces ; 10. Reduction of algebraic curves ; Bibilography ; Index
Series Title: Oxford graduate texts in mathematics; Oxford science publications
Responsibility: Qing Liu ... ; transl. 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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