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Title: Introduction to Algebraic Geometry (M) / Steven Dale Cutkosky Dewey Class: 516.3 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: ------------------------------ 0000000044291 Disponibile a: SISSA General 512.7 CUT -----------------------------------------------
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