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Algebraic Geometry

An Introduction
BuchKartoniert, Paperback
263 Seiten
Englisch
Springererschienen am25.01.2008
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.mehr
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BuchKartoniert, Paperback
EUR74,89
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Produkt

KlappentextThe 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.
Zusammenfassung
Introduces the fundamental tools of algebraic geometry at a level suitable for beginning researchers in the domain
Details
ISBN/GTIN978-1-84800-055-1
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2008
Erscheinungsdatum25.01.2008
ReiheUniversitext
Seiten263 Seiten
SpracheEnglisch
Gewicht423 g
IllustrationenXI, 263 p.
Artikel-Nr.10844918

Inhalt/Kritik

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.mehr
Kritik
From the reviews:



"The book under review, Algebraic Geometry, by Daniel Perrin, is an introductory text on modern algebraic geometry. It is aimed to be the text for a first basic course for graduate students. ... is very nicely written (and very nicely translated into English too). ... Perrin has included many, many remarks aimed to explain and deconstruct definitions and theorems. I believe these remarks will be very valuable to the reader in order to gain the very much needed intuition for the theory." (Álvaro Lozano-Robledo, MathDL, May, 2008)

"The book under review is the faithful translation into English of D. Perrin's popular French text 'Géométrie algébrique. Une introduction.' ... will be to the greatest benefit of the wide international community of students, teachers, and beginning researchers in the field of modern algebraic geometry. Also, we would like to emphasize again that this primer is perfectly suitable for a one-semester graduate course on the subject, and for profound self-study just as well." (Werner Kleinert, Zentralblatt MATH, Vol. 1132 (10), 2008)

"This is the English translation of an outstanding textbook, originally published in French. ... Appendices contain a summary of results from commutative algebra used in this book and a short introduction to scheme theory. Anyone looking for a textbook on algebraic geometry that starts with the basics and presents a lot of material in a digestible way ... will find this volume an excellent choice." (Ch. Baxa, Monatshefte für Mathematik, Vol. 160 (4), July, 2010)mehr