Qing Liu (, Charge de recherche, Centre National de la Recherche Sc

Algebraic Geometry and Arithmetic Curves

• Broschiertes Buch

Produktbeschreibung

This new-in-paperback edition provides an 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. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.

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Produktdetails

• Oxford Graduate Texts in Mathematics
• Verlag: Oxford University Press
• Seitenzahl: 594
• Erscheinungstermin: 29. Juni 2006
• Englisch
• Abmessung: 234mm x 156mm x 32mm
• Gewicht: 990g
• ISBN-13: 9780199202492
• ISBN-10: 0199202494
• Artikelnr.: 20860441

Inhaltsangabe

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