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Cover: 9781848000551 | Algebraic Geometry | An Introduction | Daniel Perrin | Taschenbuch
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Algebraic Geometry
An Introduction
Taschenbuch von Daniel Perrin
Sprache: Englisch

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Beschreibung
Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject; it assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Université Paris-Sud, Orsay, and focuses on projective algebraic geometry over an algebraically closed base field. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject; it assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Université Paris-Sud, Orsay, and focuses on projective algebraic geometry over an algebraically closed base field. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
Zusammenfassung

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject; it assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Université Paris-Sud, Orsay, and focuses on projective algebraic geometry over an algebraically closed base field. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.

Inhaltsverzeichnis
Affine algebraic sets.- Projective algebraic sets.- Sheaves and varieties.- Dimension.- Tangent spaces and singular points.- Bézout's theorem.- Sheaf cohomology.- Arithmetic genus of curves and the weak Riemann-Roch theorem.- Rational maps, geometric genus and rational curves.- Liaison of space curves.
Details
Erscheinungsjahr: 2008
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Universitext
Inhalt: xi
263 S.
8 s/w Illustr.
8 s/w Zeichng.
ISBN-13: 9781848000551
ISBN-10: 1848000553
Sprache: Englisch
Herstellernummer: 12119042
Einband: Kartoniert / Broschiert
Autor: Perrin, Daniel
Übersetzung: Maclean, Catriona
Hersteller: Springer
Springer London
Springer-Verlag London Ltd.
Universitext
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 16 mm
Von/Mit: Daniel Perrin
Erscheinungsdatum: 25.01.2008
Gewicht: 0,423 kg
Artikel-ID: 101936067
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