More than 1,900 Springer Protocols eBooks at just $9.99 each! Get yours today>>

Lecture Notes in Mathematics

Singularities, Representation of Algebras, and Vector Bundles

Proceedings of a Symposium held in Lambrecht/Pfalz, Fed.Rep. of Germany, Dec. 13-17, 1985

Editors: Greuel, Gert-Martin, Trautmann, Günther (Eds.)

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-540-47851-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $46.00
price for USA
  • ISBN 978-3-540-18263-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction. These relations however cannot be considered to be either completely understood or fully exploited. These proceedings document recent developments in the area. The questions and methods of representation theory have applications to singularities and to vector bundles. Representation theory itself, which had primarily developed its methods for Artinian algebras, starts to investigate algebras of higher dimension partly because of these applications. Future research in representation theory may be spurred by the classification of singularities and the highly developed theory of moduli for vector bundles. The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers.

Table of contents (21 chapters)

  • Survey of vector bundles on curves

    Narasimhan, M. S.

    Pages 1-8

  • Finite and countable CM-representation type

    Schreyer, Frank-Olaf

    Pages 9-34

  • Finite dimensional algebras and singularities

    Reiten, Idun

    Pages 35-57

  • Cohen-Macaulay modules on quadrics

    Buchweitz, Ragnar-Olaf (et al.)

    Pages 58-116

  • Monomial curves and obstructions on cyclic quotient singularities

    Christophersen, Jan Arthur

    Pages 117-133

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-540-47851-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $46.00
price for USA
  • ISBN 978-3-540-18263-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Singularities, Representation of Algebras, and Vector Bundles
Book Subtitle
Proceedings of a Symposium held in Lambrecht/Pfalz, Fed.Rep. of Germany, Dec. 13-17, 1985
Editors
  • Gert-Martin Greuel
  • Günther Trautmann
Series Title
Lecture Notes in Mathematics
Series Volume
1273
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47851-5
DOI
10.1007/BFb0078834
Softcover ISBN
978-3-540-18263-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 384
Topics