Introduction to Algebraic Geometry: (Graduate Studies in Mathematics)
Steven Dale Cutkosky (Author)
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.
About the Author
Steven Dale Cutkosky, University of Missouri, Columbia, MO.
- Contributor: Steven Dale Cutkosky
- Imprint: American Mathematical Society
- ISBN13: 9781470435189
- Number of Pages: 488
- Packaged Dimensions: 178x254mm
- Format: Hardback
- Publisher: American Mathematical Society
- Release Date: 2018-07-30
- Series: Graduate Studies in Mathematics
- Binding: Hardback
- Biography: Steven Dale Cutkosky, University of Missouri, Columbia, MO.
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