Vector Bundles on Complex Projective Spaces - Hardcover

Okonek, Christian; Spindler, Heinz; Schneider, Michael

Hardcover

ISBN 10: 0306392038 ISBN 13: 9780306392030

Verlag: Springer, 1995

Über diesen Titel

Reseña del editor

These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = Fn. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some funda­ mental results from these fields are summarized at the beginning. One of the authors gave a survey in the Seminaire Bourbaki 1978 on the current state of the classification of holomorphic vector bundles overFn. This lecture then served as the basis for a course of lectures in Gottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the introductory nature of this book we have had to leave out some difficult topics such as the restriction theorem of Barth. As compensation we have appended to each sec­ tion a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of paragraphs. Each section is preceeded by a short description of iv its contents.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1995
• ISBN 10: 0306392038
• ISBN 13: 9780306392030
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 389