Introduction to Algebraic Geometry by Steven Dale Cutkosky

Introduction to Algebraic Geometry by Steven Dale Cutkosky

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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