Algebraic Geometry: An Introduction Export

@book{citeulike:4920488, abstract = {Aimed primarily at graduate students and beginning researchers, this bookprovides an introduction to algebraic geometry that is particularly suitablefor those with no previous contact with the subject and assumes only thestandard background of undergraduate algebra. It is developed from a masterscourse given at the Universit\'{e} Paris-Sud, Orsay, and focusses on projectivealgebraic geometry over an algebraically closed base field.The book starts with easily-formulated problems with non-trivial solutions –for example, B\'{e}zout's theorem and the problem of rational curves – and usesthese problems to introduce the fundamental tools of modern algebraicgeometry: dimension; singularities; sheaves; varieties; and cohomology. Thetreatment uses as little commutative algebra as possible by quoting withoutproof (or proving only in special cases) theorems whose proof is not necessaryin practice, the priority being to develop an understanding of the phenomenarather than a mastery of the technique. A range of exercises is provided foreach topic discussed, and a selection of problems and exam papers arecollected in an appendix to provide material for further study.}, author = {Perrin, Daniel}, citeulike-article-id = {4920488}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/1848000553}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/1848000553}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/1848000553}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/1848000553}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/1848000553/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/1848000553}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/1848000553}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN1848000553}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=1848000553&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/1848000553}, day = {19}, edition = {1}, howpublished = {Paperback}, isbn = {1848000553}, keywords = {algebraic\_geometry}, month = {December}, posted-at = {2009-06-21 21:23:46}, priority = {2}, publisher = {Springer}, title = {Algebraic Geometry: An Introduction}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/1848000553}, year = {2007} }

TY - BOOK ID - citeulike:4920488 L3 - citeulike-article-id:4920488 N2 - Aimed primarily at graduate students and beginning researchers, this bookprovides an introduction to algebraic geometry that is particularly suitablefor those with no previous contact with the subject and assumes only thestandard background of undergraduate algebra. It is developed from a masterscourse given at the Université Paris-Sud, Orsay, and focusses on projectivealgebraic geometry over an algebraically closed base field.The book starts with easily-formulated problems with non-trivial solutions –for example, Bézout’s theorem and the problem of rational curves – and usesthese problems to introduce the fundamental tools of modern algebraicgeometry: dimension; singularities; sheaves; varieties; and cohomology. Thetreatment uses as little commutative algebra as possible by quoting withoutproof (or proving only in special cases) theorems whose proof is not necessaryin practice, the priority being to develop an understanding of the phenomenarather than a mastery of the technique. A range of exercises is provided foreach topic discussed, and a selection of problems and exam papers arecollected in an appendix to provide material for further study. SN - 1848000553 TI - Algebraic Geometry: An Introduction PB - Springer KW - algebraic_geometry AU - Perrin, Daniel PY - 2007/12/19/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/1848000553 ER -