Vector Bundles on Complex Projective Spaces: With an Appendix by S. I. Gelfand - Couverture souple

Okonek, Christian; Schneider, Michael; Spindler, Heinz

 
9783034801508: Vector Bundles on Complex Projective Spaces: With an Appendix by S. I. Gelfand
Couverture souple
ISBN 10 : 3034801505 ISBN 13 : 9783034801508
Editeur : Birkhäuser, 2011

Synopsis

These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi?cation 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 fundamental results from these ?elds are summarized at the beginning. One of the authors gave a survey in the S´eminaire Bourbaki 1978 on the current state of the classi?cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G¨ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di?cult topics such as the restriction theorem of Barth. As compensation we have appended to each section 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 pa- graphs. Each section is preceded by a short description of its contents.

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

À propos de l?auteur

Christian Okonek is Professor for mathematics at the University of Zurich. Michael Schneider was Professor for algebraic geometry at the University of Bayreuth, deceased in 1997. Heinz Spindler is Professor for mathematics at the University of Osnabrück.

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

Éditeur
Birkhäuser
Date d'édition
2011
Langue
anglais
ISBN 10 
3034801505
ISBN 13 
9783034801508
Reliure
Broché
Nombre de pages
248
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9783034801522: Vector Bundles on Complex Projective Spaces: With an Appendix by S. I. Gelfand

Edition présentée

ISBN 10 :  3034801521 ISBN 13 :  9783034801522
Editeur : Birkhäuser, 2011
Couverture souple