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Algebraic Geometry and Arithmetic Curves
Qing Liu
€ 89.11
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Description for Algebraic Geometry and Arithmetic Curves
Paperback. 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. Translator(s): Erne, Reinie. Series: Oxford Graduate Texts in Mathematics. Num Pages: 600 pages, illustrations. BIC Classification: PBH; PBMW. Category: (P) Professional & Vocational. Dimension: 234 x 158 x 32. Weight in Grams: 872.
This new-in-paperback edition provides a general 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. 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 chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study ... Read more
This new-in-paperback edition provides a general 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. 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 chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study ... Read more
Product Details
Publisher
Oxford University Press United Kingdom
Number of pages
600
Format
Paperback
Publication date
2006
Series
Oxford Graduate Texts in Mathematics
Condition
New
Number of Pages
600
Place of Publication
Oxford, United Kingdom
ISBN
9780199202492
SKU
V9780199202492
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
Reviews for Algebraic Geometry and Arithmetic Curves
Review from previous edition 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 ... Read more
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 ... Read more