Singularities, Representation of Algebras, and Vector Bundles (Record no. 11506)
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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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-- | text |
-- | txt |
-- | rdacontent |
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-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
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-- | rda |
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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