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Introduction to Algebraic Geometry by Steven Dale Cutkosky (Hardcover, 2018)

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Product Information

This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic $0$ and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.

Product Identifiers

PublisherAmerican Mathematical Society
ISBN-139781470435189
eBay Product ID (ePID)15046458857

Product Key Features

Publication Year2018
SubjectMathematics
Number of Pages488 Pages
LanguageEnglish
Publication NameIntroduction to Algebraic Geometry
TypeTextbook
AuthorSteven Dale Cutkosky
FormatHardcover

Dimensions

Item Height254 mm
Item Width178 mm

Additional Product Features

Country/Region of ManufactureUnited States
Title_AuthorSteven Dale Cutkosky
Series TitleGraduate Studies in Mathematics

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