Algebraic Geometry, Volume I: Algebraic Curves, Algebraic Manifolds and Schemes Export

@book{citeulike:5390427, abstract = {This volume of the \_Encyclopaedia\_ consists of two parts. The first is devotedto the theory of curves, which are treated from both the analytic andalgebraic points of view. Starting with the basic notions of the theory ofRiemann surfaces the reader is lead into an exposition covering the Riemann-Roch theorem, Riemann's fundamental existence theorem, uniformization andautomorphic functions. The algebraic material also treats algebraic curvesover an arbitrary field and the connection between algebraic curves andAbelian varieties. The second part is an introduction to higher-dimensionalalgebraic geometry. The author deals with algebraic varieties, thecorresponding morphisms, the theory of coherent sheaves and, finally, thetheory of schemes. This book is a very readable introduction to algebraicgeometry and will be immensely useful to mathematicians working in algebraicgeometry and complex analysis and especially to graduate students in thesefields.}, author = {Shafarevich, I. R. and Coray, D. and Shokurov, V. N. and Danilov, V. I. and Shokurov, V. V.}, citeulike-article-id = {5390427}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/3540519955}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/3540519955}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/3540519955}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/3540519955}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/3540519955/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/3540519955}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/3540519955}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN3540519955}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=3540519955&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/3540519955}, day = {11}, editor = {Shafarevich, I. R.}, howpublished = {Hardcover}, isbn = {3540519955}, keywords = {algebraic\_curves, algebraic\_geometry, algebraic\_manifolds, schemes}, month = {July}, posted-at = {2009-08-07 01:28:11}, priority = {2}, publisher = {Springer}, title = {Algebraic Geometry, Volume I: Algebraic Curves, Algebraic Manifolds and Schemes}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/3540519955}, year = {2009} }

TY - BOOK ID - citeulike:5390427 L3 - citeulike-article-id:5390427 N2 - This volume of the _Encyclopaedia_ consists of two parts. The first is devotedto the theory of curves, which are treated from both the analytic andalgebraic points of view. Starting with the basic notions of the theory ofRiemann surfaces the reader is lead into an exposition covering the Riemann-Roch theorem, Riemann's fundamental existence theorem, uniformization andautomorphic functions. The algebraic material also treats algebraic curvesover an arbitrary field and the connection between algebraic curves andAbelian varieties. The second part is an introduction to higher-dimensionalalgebraic geometry. The author deals with algebraic varieties, thecorresponding morphisms, the theory of coherent sheaves and, finally, thetheory of schemes. This book is a very readable introduction to algebraicgeometry and will be immensely useful to mathematicians working in algebraicgeometry and complex analysis and especially to graduate students in thesefields. SN - 3540519955 TI - Algebraic Geometry, Volume I: Algebraic Curves, Algebraic Manifolds and Schemes PB - Springer KW - algebraic_curves KW - algebraic_geometry KW - algebraic_manifolds KW - schemes AU - Shafarevich, IR AU - Coray, D AU - Shokurov, VN AU - Danilov, VI AU - Shokurov, VV A2 - Shafarevich, IR PY - 2009/07/11/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/3540519955 ER -