Introduction to Algebraic Geometry
Introduction to Algebraic Geometry
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Résumé
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 | Non disponible |
| ISBN 13 | 9781470435189 |
| ISBN 10 | 1470435187 |
| Titre | Introduction to Algebraic Geometry |
| Auteur | Steven Dale Cutkosky |
| Série | Graduate Studies In Mathematics |
| État | Non disponible |
| Type de reliure | Hardback |
| Éditeur | American Mathematical Society |
| Année de publication | 2018-07-30 |
| Nombre de pages | 488 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |