Introduction to Algebraic Geometry (Graduate Studies in Mathematics) - Hardcover

Book 151 of 190: Graduate Studies in Mathematics

Steven Dale Cutkosky (author)

 
9781470435189: Introduction to Algebraic Geometry (Graduate Studies in Mathematics)
Hardcover
ISBN 10: 1470435187 ISBN 13: 9781470435189
Publisher: American Mathematical Society, 2018

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Steven Dale Cutkosky, University of Missouri, Columbia, MO.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2018
Language
English
ISBN 10 
1470435187
ISBN 13 
9781470435189
Binding
Hardcover
Number of pages
488