Algebraic geometry combines the intuition of geometry with the precision of algebra, says Cutkwosky, and begins his introductory textbook with geometry concepts, introducing machinery as necessary to model important ideas from algebraic geometry and to prove fundamental results. He emphasizes the facility to connect geometric and algebraic concepts, providing examples of the results and developing the theory in increasing sophistication. His topics include regular and rational maps of quasi-projective varieties, the blow-up of an ideal, differential forms and the canonical divisor, the degree of projective variety, and ramification and Éale maps. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
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Steven Dale Cutkosky, University of Missouri, Columbia, MO.
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Zustand: New. 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 theor. Artikel-Nr. 595975130
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Buch. Zustand: Neu. Neuware - 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. Artikel-Nr. 9781470435189
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Buch. Zustand: Neu. Introduction to Algebraic Geometry | Steven Dale Cutkosky | Buch | Einband - fest (Hardcover) | Englisch | 2018 | American Mathematical Society | EAN 9781470435189 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu. Artikel-Nr. 121902285
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