Introduction to Algebraic Geometry - Couverture rigide

Livre 151 sur 190: Graduate Studies in Mathematics

Cutkosky, Steven Dale

 
9781470435189: Introduction to Algebraic Geometry
Couverture rigide
ISBN 10 : 1470435187 ISBN 13 : 9781470435189
Editeur : American Mathematical Society, 2018

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Steven Dale Cutkosky, University of Missouri, Columbia, MO.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2018
Langue
anglais
ISBN 10 
1470435187
ISBN 13 
9781470435189
Reliure
Relié
Nombre de pages
488
Coordonnées du fabricant
non disponible
Personne responsable
non disponible