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Introduction to Algebraic Geometry
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Catalogue Information
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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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Subject References:
Algebraic geometry – Instructional exposition
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Geometry, Algebraic
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Authors:
Cutkosky, Steven Dale
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Series:
Graduate studies in mathematics
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Classification:
516.3
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0000000044291
512.7 CUT
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