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The Geometry of Schemes (Graduate Texts in Mathematics, nr. 197)

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en Limba Engleză Paperback – 29 Nov 2001
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
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ISBN-13: 9780387986371
ISBN-10: 0387986375
Pagini: 300
Ilustrații: 40 Abb.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.47 kg
Ediția: 1st ed. 2000. Corr. 2nd printing 2001
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics

Locul publicării: New York, NY, United States

Public țintă



1 Basic Definitions 2 Examples 3 Projective Schemes 4 Classical Constructions 5 Local Constructions 6 Schemes and Functors


"A great subject and expert authors!"
Nieuw Archief voor Wiskunde,June 2001

"Both Eisenbud and Harris are experienced and compelling educators of modern mathematics. This book is strongly recommended to anyone who would like to know what schemes are all about."
Newsletter of the New Zealand Mathematical Society, No. 82, August 2001


Written by two highly respected mathematicians who are also bestselling Springer authors
Fills the gap between books on classical algebraic geometry and full-blown accounts of the theory of schemes
Provides a simple account, emphasizing and explaining the universal geometric concepts behind the definitions
Explicit calculations show how scheme theory is utilized in practice
Discusses applications to number theory, physics, and applied mathematics