Zur Startseite gehen
0,00 €*
Cover: 9781848000551 | Algebraic Geometry | An Introduction | Daniel Perrin | Taschenbuch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Algebraic Geometry
An Introduction
Taschenbuch von Daniel Perrin
Sprache: Englisch

64,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 4-7 Werktage

Kategorien:
Beschreibung
This book is built upon a basic second-year masters course given in 1991¿ 1992, 1992¿1993 and 1993¿1994 at the Universit¿ e Paris-Sud (Orsay). The course consisted of about 50 hours of classroom time, of which three-quarters were lectures and one-quarter examples classes. It was aimed at students who had no previous experience with algebraic geometry. Of course, in the time available, it was impossible to cover more than a small part of this ?eld. I chose to focus on projective algebraic geometry over an algebraically closed base ?eld, using algebraic methods only. The basic principles of this course were as follows: 1) Start with easily formulated problems with non-trivial solutions (such as B¿ ezout¿s theorem on intersections of plane curves and the problem of rationalcurves).In1993¿1994,thechapteronrationalcurveswasreplaced by the chapter on space curves. 2) Use these problems to introduce the fundamental tools of algebraic ge- etry: dimension, singularities, sheaves, varieties and cohomology. I chose not to explain the scheme-theoretic method other than for ?nite schemes (which are needed to be able to talk about intersection multiplicities). A short summary is given in an appendix, in which special importance is given to the presence of nilpotent elements. 3) Use as little commutative algebra as possible by quoting without proof (or proving only in special cases) a certain number of theorems whose proof is not necessary in practise. The main theorems used are collected in a summary of results from algebra with references. Some of them are suggested as exercises or problems.
This book is built upon a basic second-year masters course given in 1991¿ 1992, 1992¿1993 and 1993¿1994 at the Universit¿ e Paris-Sud (Orsay). The course consisted of about 50 hours of classroom time, of which three-quarters were lectures and one-quarter examples classes. It was aimed at students who had no previous experience with algebraic geometry. Of course, in the time available, it was impossible to cover more than a small part of this ?eld. I chose to focus on projective algebraic geometry over an algebraically closed base ?eld, using algebraic methods only. The basic principles of this course were as follows: 1) Start with easily formulated problems with non-trivial solutions (such as B¿ ezout¿s theorem on intersections of plane curves and the problem of rationalcurves).In1993¿1994,thechapteronrationalcurveswasreplaced by the chapter on space curves. 2) Use these problems to introduce the fundamental tools of algebraic ge- etry: dimension, singularities, sheaves, varieties and cohomology. I chose not to explain the scheme-theoretic method other than for ?nite schemes (which are needed to be able to talk about intersection multiplicities). A short summary is given in an appendix, in which special importance is given to the presence of nilpotent elements. 3) Use as little commutative algebra as possible by quoting without proof (or proving only in special cases) a certain number of theorems whose proof is not necessary in practise. The main theorems used are collected in a summary of results from algebra with references. Some of them are suggested as exercises or problems.
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: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 276
Reihe: Universitext
Inhalt: xi
263 S.
8 s/w Illustr.
8 s/w Zeichng.
ISBN-13: 9781848000551
ISBN-10: 1848000553
Sprache: Englisch
Herstellernummer: 12119042
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Perrin, Daniel
Übersetzung: Maclean, Catriona
Auflage: 2008
Hersteller: Springer London
Universitext
Maße: 235 x 155 x 16 mm
Von/Mit: Daniel Perrin
Erscheinungsdatum: 25.01.2008
Gewicht: 0,423 kg
preigu-id: 101936067
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: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 276
Reihe: Universitext
Inhalt: xi
263 S.
8 s/w Illustr.
8 s/w Zeichng.
ISBN-13: 9781848000551
ISBN-10: 1848000553
Sprache: Englisch
Herstellernummer: 12119042
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Perrin, Daniel
Übersetzung: Maclean, Catriona
Auflage: 2008
Hersteller: Springer London
Universitext
Maße: 235 x 155 x 16 mm
Von/Mit: Daniel Perrin
Erscheinungsdatum: 25.01.2008
Gewicht: 0,423 kg
preigu-id: 101936067
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9783642006388 | Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication
Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication
EAN: 9783642006388
Sprache: Englisch
Von/Mit: Christian Rohde

48,95 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9783540747062 | Verteilungsfreie Methoden in der Biostatistik | Jürgen Bortz (u. a.)
Verteilungsfreie Methoden in der Biostatistik
EAN: 9783540747062
Sprache: Deutsch
Von/Mit: Jürgen Bortz (u. a.)

79,99 €*

Lieferzeit 1-2 Werktage

Taschenbuch
Cover: 9783528065911 | Das Maple Arbeitsbuch | Hans-D. Janetzko (u. a.) | Taschenbuch | 1995
Das Maple Arbeitsbuch
EAN: 9783528065911
Sprache: Deutsch
Von/Mit: Hans-D. Janetzko (u. a.)

44,99 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9783833406188 | Das Gesetz der kleinen Zahlen | Wie sich der Zufall berechnen läßt
Das Gesetz der kleinen Zahlen
Wie sich der Zufall berechnen läßt
EAN: 9783833406188
Sprache: Deutsch
Von/Mit: Kurt V. Haller

14,90 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9783540520252 | Statistische Methoden 2 | Planung und Auswertung | Lothar Sachs | Buch
Statistische Methoden 2
Planung und Auswertung
EAN: 9783540520252
Sprache: Deutsch
Von/Mit: Lothar Sachs

32,99 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9783519002178 | Grundkurs Mathematik für Bauingenieure | Klaus Vetters | Taschenbuch
Grundkurs Mathematik für Bauingenieure
EAN: 9783519002178
Sprache: Deutsch
Von/Mit: Klaus Vetters

44,99 €*

Lieferzeit 1-2 Werktage

Buch
Cover: 9783642172854 | Perspectives on Projective Geometry | Jürgen Richter-Gebert | Buch
Perspectives on Projective Geometry
A Guided Tour Through Real and Complex Geometry
EAN: 9783642172854
Sprache: Englisch
Von/Mit: Jürgen Richter-Gebert

99,95 €*

Lieferzeit 1-2 Werktage

Taschenbuch
Cover: 9783030460495 | Differential Geometry and Lie Groups | A Second Course | Taschenbuch
Differential Geometry and Lie Groups
A Second Course
EAN: 9783030460495
Sprache: Englisch
Von/Mit: Jocelyn Quaintance (u. a.)

49,80 €*

Lieferzeit 4-7 Werktage

Buch
Cover: 9789811665080 | Basic Topology 1 | Metric Spaces and General Topology | Buch | 2022
Basic Topology 1
Metric Spaces and General Topology
EAN: 9789811665080
Sprache: Englisch
Von/Mit: Mahima Ranjan Adhikari (u. a.)

74,90 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9780198425151 | Complete Probability & Statistics 1 for Cambridge International AS...
Complete Probability & Statistics 1 for Cambridge International AS & A Level
EAN: 9780198425151
Sprache: Englisch
Von/Mit: James Nicholson

40,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783031514616 | Metric Algebraic Geometry | Paul Breiding (u. a.) | Taschenbuch | xiv
Metric Algebraic Geometry
EAN: 9783031514616
Sprache: Englisch
Von/Mit: Paul Breiding (u. a.)

38,95 €*

Lieferzeit 4-7 Werktage

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...