The Geometry of Schemes Export

@book{citeulike:1360750, abstract = {The theory of schemes is the foundation for algebraic geometry proposed andelaborated by Alexander Grothendieck and his co-workers. It has allowed majorprogress in classical areas of algebraic geometry such as invariant theory andthe moduli of curves. It integrates algebraic number theory with algebraicgeometry, fulfilling the dreams of earlier generations of number theorists.This integration has led to proofs of some of the major conjectures in numbertheory (Deligne's proof of the Weil Conjectures, Faltings' proof of theMordell Conjecture).This book is intended to bridge the chasm between a first course in classicalalgebraic geometry and a technical treatise on schemes. It focuses onexamples, and strives to show "what is going on" behind the definitions. Thereare many exercises to test and extend the reader's understanding. Theprerequisites are modest: a little commutative algebra and an acquaintancewith algebraic varieties, roughly at the level of a one-semester course. Thebook aims to show schemes in relation to other geometric ideas, such as thetheory of manifolds. Some familiarity with these ideas is helpful, though notrequired.}, author = {Eisenbud, David and Harris, Joe}, citeulike-article-id = {1360750}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0387986375}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0387986375}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0387986375}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0387986375}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0387986375/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0387986375}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0387986375}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0387986375}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0387986375&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0387986375}, day = {29}, howpublished = {Paperback}, isbn = {0387986375}, keywords = {algebraic\_geometry, schemes}, month = {November}, posted-at = {2009-08-11 21:03:03}, priority = {2}, publisher = {Springer}, title = {The Geometry of Schemes}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0387986375}, year = {2001} }

TY - BOOK ID - citeulike:1360750 L3 - citeulike-article-id:1360750 N2 - The theory of schemes is the foundation for algebraic geometry proposed andelaborated by Alexander Grothendieck and his co-workers. It has allowed majorprogress in classical areas of algebraic geometry such as invariant theory andthe moduli of curves. It integrates algebraic number theory with algebraicgeometry, fulfilling the dreams of earlier generations of number theorists.This integration has led to proofs of some of the major conjectures in numbertheory (Deligne's proof of the Weil Conjectures, Faltings' proof of theMordell Conjecture).This book is intended to bridge the chasm between a first course in classicalalgebraic geometry and a technical treatise on schemes. It focuses onexamples, and strives to show "what is going on" behind the definitions. Thereare many exercises to test and extend the reader's understanding. Theprerequisites are modest: a little commutative algebra and an acquaintancewith algebraic varieties, roughly at the level of a one-semester course. Thebook aims to show schemes in relation to other geometric ideas, such as thetheory of manifolds. Some familiarity with these ideas is helpful, though notrequired. SN - 0387986375 TI - The Geometry of Schemes PB - Springer KW - algebraic_geometry KW - schemes AU - Eisenbud, David AU - Harris, Joe PY - 2001/11/29/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0387986375 ER -