The Geometry of Schemes
Seiten
2000
|
1st ed. 2000. Corr. 2nd printing 2001
Springer-Verlag New York Inc.
978-0-387-98637-1 (ISBN)
Springer-Verlag New York Inc.
978-0-387-98637-1 (ISBN)
Grothendieck's theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
This text is intended to fill the gap between texts on classical algebraic geometry and the full-blown accounts of the theory of schemes. The text focuses on interesting examples, with a minimum of machinery, to show what is happening in the field. Included is a large number of exercises, spread throughout the text. The prerequisites for reading this book are modest: a little commutative algebra and an acquaintance with algebraic varieties.
This text is intended to fill the gap between texts on classical algebraic geometry and the full-blown accounts of the theory of schemes. The text focuses on interesting examples, with a minimum of machinery, to show what is happening in the field. Included is a large number of exercises, spread throughout the text. The prerequisites for reading this book are modest: a little commutative algebra and an acquaintance with algebraic varieties.
Basic Definitions.- Examples.- Projective Schemes.- Classical Constructions.- Local Constructions.- Schemes and Functors.
| Reihe/Serie | Graduate Texts in Mathematics ; 197 |
|---|---|
| Zusatzinfo | X, 294 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 0-387-98637-5 / 0387986375 |
| ISBN-13 | 978-0-387-98637-1 / 9780387986371 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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