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Cover: 9780387986388 | The Geometry of Schemes | Joe Harris (u. a.) | Buch | X | Englisch
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The Geometry of Schemes
Buch von Joe Harris (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
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.
Inhaltsverzeichnis
Basic Definitions.- Examples.- Projective Schemes.- Classical Constructions.- Local Constructions.- Schemes and Functors.
Details
Erscheinungsjahr: 2000
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: x
294 S.
ISBN-13: 9780387986388
ISBN-10: 0387986383
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Harris, Joe
Eisenbud, David
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 241 x 160 x 23 mm
Von/Mit: Joe Harris (u. a.)
Erscheinungsdatum: 01.01.2000
Gewicht: 0,635 kg
Artikel-ID: 106258082
Zusammenfassung
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.
Inhaltsverzeichnis
Basic Definitions.- Examples.- Projective Schemes.- Classical Constructions.- Local Constructions.- Schemes and Functors.
Details
Erscheinungsjahr: 2000
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: x
294 S.
ISBN-13: 9780387986388
ISBN-10: 0387986383
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Harris, Joe
Eisenbud, David
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 241 x 160 x 23 mm
Von/Mit: Joe Harris (u. a.)
Erscheinungsdatum: 01.01.2000
Gewicht: 0,635 kg
Artikel-ID: 106258082
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