Introduction to Algebraic Geometry by Steven Dale Cutkosky

Introduction to Algebraic Geometry by Steven Dale Cutkosky

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Summary

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.

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Introduction to Algebraic Geometry by Steven Dale Cutkosky

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.
Steven Dale Cutkosky, University of Missouri, Columbia, MO.
SKU Unavailable
ISBN 13 9781470435189
ISBN 10 1470435187
Title Introduction to Algebraic Geometry
Author Steven Dale Cutkosky
Series Graduate Studies In Mathematics
Condition Unavailable
Binding Type Hardback
Publisher American Mathematical Society
Year published 2018-07-30
Number of pages 488
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable