Vector Bundles on Complex Projective Spaces: With an Appendix by S. I. Gelfand (Modern Birkhäuser Classics)

0 avg rating
( 0 ratings by Goodreads )
 
9783034801508: Vector Bundles on Complex Projective Spaces: With an Appendix by S. I. Gelfand (Modern Birkhäuser Classics)

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.

"synopsis" may belong to another edition of this title.

From the Back Cover:

This expository treatment is based on a survey given by one of the authors at the Séminaire Bourbaki in November 1978 and on a subsequent course held at the University of Göttingen. It is intended to serve as an introduction to the topical question of classification of holomorphic vector bundles on complex projective spaces, and can easily be read by students with a basic knowledge of analytic or algebraic geometry. Short supplementary sections describe more advanced topics, further results, and unsolved problems.

This is a corrected third printing with an Appendix by S. I. Gelfand.

 ------

 

The present book is the first one, within the extensive literature on algebraic vector bundles, to give both a self-contained introduction to the basic methods and an exposition of the current state of the classification theory of algebraic vector bundles over Pn(C). (...) The reviewer thinks that readers should be grateful to the authors for presenting the first detailed, self-contained and systematic textbook on vector bundles over projective varieties. They have put in a lot of their own results to simplify and to systematize many proofs, and to lead the reader to the current research in this field as quickly as possible.

(Mathematical Reviews)

 

(...) every section ends with historical comments, further results, and open questions. This brings the reader up to date and provides a guide for further work.

(Bulletin of the American Mathematical Society)

 

(...) the fundamental appendix essentially enhance this outstanding standard textbook and research monograph on vector bundles.

(Mathematical Reviews)

About the Author:

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.

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Christian Okonek
Published by Springer Basel (2011)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer Basel, 2011. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9783034801508

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 78.89
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

2.

Okonek, Christian
Published by Birkhäuser (2016)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Birkhäuser, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9783034801508_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 77.78
Convert Currency

Add to Basket

Shipping: US$ 5.17
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

CHRISTIAN OKONEK
Published by BirkhÇÏuser (2011)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Paperback Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description BirkhÇÏuser, 2011. Paperback. Book Condition: NEW. 9783034801508 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Bookseller Inventory # HTANDREE0312661

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 74.11
Convert Currency

Add to Basket

Shipping: US$ 10.66
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Christian Okonek
Published by Springer Basel (2011)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Springer Basel, 2011. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9783034801508

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 73.08
Convert Currency

Add to Basket

Shipping: US$ 11.99
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Christian Okonek, Michael Schneider, Heinz Spindler
Published by Springer Basel 2011-07-07, [New York] (2011)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New paperback Quantity Available: > 20
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Springer Basel 2011-07-07, [New York], 2011. paperback. Book Condition: New. Bookseller Inventory # 9783034801508

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 83.71
Convert Currency

Add to Basket

Shipping: US$ 8.00
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Christian Okonek,Michael Schneider,Heinz Spindler
Published by Springer Basel 2011-07-07 (2011)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Paperback Quantity Available: 3
Seller:
Chiron Media
(Wallingford, United Kingdom)
Rating
[?]

Book Description Springer Basel 2011-07-07, 2011. Paperback. Book Condition: New. Bookseller Inventory # NU-LBR-00950053

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 88.33
Convert Currency

Add to Basket

Shipping: US$ 3.98
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Christian Okonek; Michael Schneider; Heinz Spindler
Published by Birkhäuser (2011)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Softcover Quantity Available: 1
Seller:
Rating
[?]

Book Description Birkhäuser, 2011. Book Condition: New. Bookseller Inventory # L9783034801508

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 94.45
Convert Currency

Add to Basket

Shipping: US$ 3.51
From Germany to U.S.A.
Destination, Rates & Speeds

8.

Okonek, Christian
Published by Birkhäuser (2017)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Paperback Quantity Available: > 20
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Birkhäuser, 2017. Paperback. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # 3034801505

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 102.07
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

9.

Christian Okonek
Published by Springer Basel AG Jul 2011 (2011)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Taschenbuch Quantity Available: 1
Seller:
Rating
[?]

Book Description Springer Basel AG Jul 2011, 2011. Taschenbuch. Book Condition: Neu. Neuware - 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. 239 pp. Englisch. Bookseller Inventory # 9783034801508

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 90.78
Convert Currency

Add to Basket

Shipping: US$ 14.10
From Germany to U.S.A.
Destination, Rates & Speeds

10.

Christian Okonek; Michael Schneider; Heinz Spindler
Published by Birkhäuser (2011)
ISBN 10: 3034801505 ISBN 13: 9783034801508
New Paperback Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Birkhäuser, 2011. Paperback. Book Condition: New. book. Bookseller Inventory # M3034801505

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 109.16
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book