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Introduction to Algebraic Geometry

Introduction to Algebraic Geometry
Catalogue Information
Field name Details
Dewey Class 516.3
Title Introduction to Algebraic Geometry (M) / Steven Dale Cutkosky
Author Cutkosky, Steven Dale
Publication Providence : American Mathematical Society , 2018
Physical Details xii, 484 pages ; 25 cm
Series Graduate studies in mathematics ; 188
ISBN 9781470435189
Summary Note 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. - Provided by publisher:
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Item Information
Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000044291 512.7 CUT
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