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Book Description paperback. Condition: New. Language: ENG. Seller Inventory # 9780199202492
Book Description Condition: New. Seller Inventory # 4236430-n
Book Description PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # GB-9780199202492
Book Description Paperback. Condition: Brand New. 577 pages. 9.25x6.25x1.25 inches. In Stock. Seller Inventory # __0199202494
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Book Description Condition: new. Seller Inventory # afc4bcb092cf3c7c26dbb72742137643
Book Description Condition: New. Seller Inventory # 4236430-n
Book Description Soft Cover. Condition: new. Seller Inventory # 9780199202492
Book Description Paperback. Condition: new. Paperback. 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 anda 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 ofRiemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group.The second part starts with blowing-ups and desingularisation (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction ofalgebraic curves. The case of elliptic curves is studied in detail. The book concludes with the fundamental theorem of stable reduction of Deligne-Mumford.This book is essentiallyself-contained, including the necessary material on commutative algebra. The prerequisites are few, and including many examples and approximately 600 exercises, the book is ideal for graduate students. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780199202492
Book Description Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days. 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. Seller Inventory # B9780199202492