Algebraic Geometry, Volume 3: Further Study of Schemes (Translations of Mathematical Monographs) - Tapa blanda

American Mathematical Society

 
9780821813584: Algebraic Geometry, Volume 3: Further Study of Schemes (Translations of Mathematical Monographs)
Tapa blanda
ISBN 10: 0821813587 ISBN 13: 9780821813584
Editorial: American Mathematical Society, 2003

Sinopsis

Algebraic geometry plays an important role in several branches of science and technology. This is the last of three volumes by Kenji Ueno algebraic geometry. This, in together with ""Algebraic Geometry 1"" and ""Algebraic Geometry 2"", makes an excellent textbook for a course in algebraic geometry. In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal of studying the properties necessary for the full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. Ueno also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem. The book contains numerous exercises and problems with solutions. It is suitable for a graduate course on algebraic geometry or for independent study.

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Reseña del editor

Algebraic geometry plays an important role in several branches of science and technology. This is the third of three volumes by Kenji Ueno on scheme theory, the most natural form of algebraic geometry. This, in addition to Algebraic Geometry 1 and Algebraic Geometry 2, makes an excellent textbook for a second course in algebraic geometry. In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal of studying the properties necessary for the full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. Ueno also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem. The book contains numerous exercises and problems with solutions. It is suitable for a graduate course on algebraic geometry or for independent study.

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Editorial
American Mathematical Society
Año de publicación
2003
Idioma
Inglés
ISBN 10 
0821813587
ISBN 13 
9780821813584
Encuadernación
Tapa blanda
Contacto del fabricante
no disponible
Persona responsable
no disponible