Algebraic Geometry
Perrin, Daniel
Produktnummer:
1860d0050512a44da9a1c9495266fac73b
Autor: | Perrin, Daniel |
---|---|
Themengebiete: | Algebra Arithmetic Riemann-Roch theorem algebraic geometry cohomology curves dimension geometry projective geometry proof |
Veröffentlichungsdatum: | 25.01.2008 |
EAN: | 9781848000551 |
Sprache: | Englisch |
Seitenzahl: | 263 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer London |
Untertitel: | An Introduction |
Produktinformationen "Algebraic Geometry"
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.

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