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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.
Produkteigenschaften
- Artikelnummer: 9781848000551
- Medium: Buch
- ISBN: 978-1-84800-055-1
- Verlag: Springer
- Erscheinungstermin: 25.01.2008
- Sprache(n): Englisch
- Auflage: 1. Auflage. 2008
- Serie: Universitext
- Produktform: Kartoniert, Paperback
- Gewicht: 423 g
- Seiten: 263
- Format (B x H x T): 155 x 235 x 16 mm
- Ausgabetyp: Kein, Unbekannt