Degenerations in the Module Varieties of Generalized Standard Auslander-Reiten Components

Grzegorz Zwara

Colloquium Mathematicae (1997)

  • Volume: 72, Issue: 2, page 281-303
  • ISSN: 0010-1354

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Zwara, Grzegorz. "Degenerations in the Module Varieties of Generalized Standard Auslander-Reiten Components." Colloquium Mathematicae 72.2 (1997): 281-303. <http://eudml.org/doc/210465>.

@article{Zwara1997,
author = {Zwara, Grzegorz},
journal = {Colloquium Mathematicae},
keywords = {finite dimensional modules; finitely generated algebras; quivers; indecomposable Auslander-Reiten quivers; coils; multicoils; partial orders},
language = {eng},
number = {2},
pages = {281-303},
title = {Degenerations in the Module Varieties of Generalized Standard Auslander-Reiten Components},
url = {http://eudml.org/doc/210465},
volume = {72},
year = {1997},
}

TY - JOUR
AU - Zwara, Grzegorz
TI - Degenerations in the Module Varieties of Generalized Standard Auslander-Reiten Components
JO - Colloquium Mathematicae
PY - 1997
VL - 72
IS - 2
SP - 281
EP - 303
LA - eng
KW - finite dimensional modules; finitely generated algebras; quivers; indecomposable Auslander-Reiten quivers; coils; multicoils; partial orders
UR - http://eudml.org/doc/210465
ER -

References

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  7. [7] M. Auslander and I. Reiten, Modules determined by their composition factors, Illinois J. Math. 29 (1985), 280-301. Zbl0539.16011
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  12. [12] K. Bongartz, Minimal singularities for representations of Dynkin quivers, Comment. Math. Helv. 69 (1994), 575-611. Zbl0832.16008
  13. [13] K. Bongartz, Degenerations for representations of tame quivers, Ann. Sci. Ecole Norm. Sup. 28 (1995), 647-668. Zbl0844.16007
  14. [14] D. Happel, U. Preiser and C. M. Ringel, Vinberg's characterization of Dynkin diagrams using subadditive functions with application to DTr-periodic modules, in: Representation Theory II, Lecture Notes in Math. 832, Springer, 1980, 280-294. Zbl0446.16032
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  17. [17] S. Liu, Semistable components of an Auslander-Reiten quiver, ibid. 47 (1993), 405-416. Zbl0818.16015
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  19. [19] C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984. 
  20. [20] A. Skowroński, Generalized standard Auslander-Reiten components without oriented cycles, Osaka J. Math. 30 (1993), 515-527. Zbl0818.16017
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  25. [25] A. Skowroński and G. Zwara, On degenerations of modules with nondirecting indecomposable summands, Canad. J. Math., in press. Zbl0867.16006

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