Singularities, Representation of Algebras, and Vector Bundles (Record no. 11506)

MARC details
000 -LEADER
fixed length control field 04625nam a22005415i 4500
001 - CONTROL NUMBER
control field 978-3-540-47851-5
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190213151657.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s1987 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540478515
-- 978-3-540-47851-5
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/BFb0078834
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA252.3
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA387
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBG
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT014000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBG
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.55
Edition number 23
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.482
Edition number 23
245 10 - TITLE STATEMENT
Title Singularities, Representation of Algebras, and Vector Bundles
Medium [electronic resource] :
Remainder of title Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13–17, 1985 /
Statement of responsibility, etc edited by Gert-Martin Greuel, Günther Trautmann.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 1987.
300 ## - PHYSICAL DESCRIPTION
Extent XVI, 384 p.
Other physical details online resource.
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-- online resource
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-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 1273
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Survey of vector bundles on curves -- Finite and countable CM-representation type -- Finite dimensional algebras and singularities -- Cohen-Macaulay modules on quadrics -- Monomial curves and obstructions on cyclic quotient singularities -- The Grothendieck group of invariant rings and of simple hypersurface singularities -- Torsionsfreie Moduln bei Deformation von Kurvensingularitäten -- Deformation of modules on curves and surfaces -- A characterisation of strictly unimodular plane curve singularities -- Polar curves, resolution of singularities and the filtered mixed hodge structure on the vanishing cohomology -- On the betti numbers of the milnor fibre of a certain class of hypersurface singularities -- Reflexive modules on cyclic quotient surface singularities -- Almost split sequences for ?-graded rings -- The auslander-reiten quiver of an isolated singularity -- A class of weighted projective curves arising in representation theory of finite dimensional algebras -- Repetitive categories -- Almost split sequences for some non-classical lattice categories -- Special instanton bundles and poncelet curves -- Groupe de picard des variétés de modules de faisceaux semi-stables sur ?2 -- On the rationality of the moduli space for stable rank-2 vector bunoles on P2 -- A theorem on zero schemes of sections in two-bundles over affine schemes with applications to set theoretic intersections.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, algebraic.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global analysis (Mathematics).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups, Lie Groups.
-- http://scigraph.springernature.com/things/product-market-codes/M11132
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic Geometry.
-- http://scigraph.springernature.com/things/product-market-codes/M11019
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12007
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Greuel, Gert-Martin.
Relator term editor.
Relator code edt
-- http://id.loc.gov/vocabulary/relators/edt
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Trautmann, Günther.
Relator term editor.
Relator code edt
-- http://id.loc.gov/vocabulary/relators/edt
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783662168639
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783540182634
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 1273
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/BFb0078834
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