Tame curve singularities with large conductor
Chapter
Abstract
In this article I intend to introduce the reader to my thesis [Di 90]. Accordingly, here I emphasize problems and results. Only in section 2 I try to sketch the main line of arguments. For proofs see [Di 90].
Keywords
Object Class Full Subcategory Curve Singularity Large Conductor Ground Ring
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References
- [Ar 74]V.I. Arnol’d: Critical points on smooth functions. Proc. Intern. Congr. Math. Vancouver 1974, Vol.1, 19–39.Google Scholar
- [Cr 88]W.W. Crawley-Boevey: Functorial filtrations II: Clans and the Gelfand problem. Preprint, Liverpool 1988.Google Scholar
- [Di 85]E. Dieterich: Solution of a nondomestic tame classification problem from integral representation theory of finite groups (Λ = RC 3, υ(3) = 4). Memoirs of the Amer. Math. Soc. (to appear).Google Scholar
- [Di 88]E. Dieterich: Tarne orders. Banach Center Publications, Vol.26, part 1 (to appear).Google Scholar
- [Di 90]E. Dieterich: Gitterkategorien über Kurvensingularitäten mit großem Führer. Habilitationsschrift, Zürich 1990.Google Scholar
- [Dr/Ro 67]J.A. Drozd, A.V. Roiter: Commutative rings with a finite number of indecomposable integral representations. Izv. Akad. Nauk. SSSR Ser. Mat. 31(1967), 783–798. Math. USSR Izv.1 (1967), 757–772.MathSciNetMATHGoogle Scholar
- [Gr/Kn 85]G.-M. Greuel, H. Knörrer: Einfache Kurvensingularitäten und torsionsfreie Moduln. Math. Ann. 270 (1985), 417–425.MathSciNetMATHCrossRefGoogle Scholar
- [Ja 67]H. Jacobinski: Sur les ordres commutatifs avec une nombre fini de réseaux indecomposables. Acta Math. 118 (1967), 1–31.MathSciNetMATHCrossRefGoogle Scholar
- [Ka 87]C. Kahn: Reflexive Moduln auf einfach-elliptischen Flächensingularitäten. Dissertation, Bonn 1987. MPI Preprint 87–25; Bonner Math. Schriften 188 (1988).Google Scholar
- [Ka 89]C. Kahn: Reflexive modules on minimally elliptic singularities. Math. Ann. 285 (1989), 141–160.MathSciNetMATHCrossRefGoogle Scholar
- [Ri 84]C.-M. Ringel: Tame algebras and integral quadratic forms. Lecture Notes in Math., Springer 1099 (1984).Google Scholar
- [Ri/Ro 79]C.-M. Ringel, K.W. Roggenkamp: Diagrammatic methods in the representation theory of orders. Journal of Alg. 60 (1979), 11–42.MathSciNetMATHCrossRefGoogle Scholar
- [Scha 85]A. Schappert: Die Klassifikation aller torsionsfreien Moduln vom Rang 1 über den unimodularen Kurvensingularitäten. Diplomarbeit, Kaiserslautern 1985.Google Scholar
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