References
Andreotti, A., Vesentini, E.: On the pseudo-rigidity of Stein manifolds. Ann. Sculo Norm. sup. Pisa16, 213–233 (1962)
Arnold, V.I.: Normal forms of functions. Invent. math.35, 87–109 (1976)
Artin, M.: On isolated rational singularities of surfaces. Amer. J. Math.88, 129–136 (1966)
Artin, M.: Algebraic construction of Brieskorn's resolutions. J. Algebra29, 330–348 (1974)
Brieskorn, E.: Rationale Singularitäten komplexer Flächen. Invent. math.6, 336–358 (1967/68)
Brieskorn, E.: Die Hierarchie der 1-Modularen Singularitäten. Preprint Bonn, 1978
Forster, O., Knorr, K.: Ein neuer Beweis des Satzes von Kodaira-Nierenberg-Spencer. Math. Z.139, 257–291 (1974)
Grauert, H.: Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331–368 (1962)
Grauert, H.: Der Satz von Kuranishi für kompakte komplexe Räume. Invent. math.15, 107–142 (1974)
Karras, U.: Klassifikation 2-dimensionaler Singularitäten mit auflösbaren lokalen Fundamentalgruppen. Math. Ann.213, 231–255 (1975)
Karras, U.: Deformations of cusp singularities. Proceedings of Symposia in Pure Mathematics30, 37–44 (1977)
Karras, U.: On pencils of curves and surface singularities. Preprint, Purdue University, West-Lafayette 1977
Karras, U.: Über Familien komplexer Kurven und Deformationen zwei-dimensionaler Singularitäten (in Vorbereitung)
Kreyszig, E.: Stetige Modifikationen komplexer Mannigfaltigkeiten. Math. Ann.128, 479–492 (1955)
Kulikov, V.: Degenerate elliptic curves and resolution of uni- and bimodal singularities. Functional Anal. Appl.9, 69–70 (1975)
Kodaira, K.: On compact analytic surfaces. II. Ann. of Math.77, 563–626 (1963)
Kodaira, K.: On stability of compact submanifolds of complex manifolds. Amer. J. Math.85, 79–94 (1963)
Laufer, H.: Deformations of resolutions of two-dimensional singularities. Rice Univ. Studies59, 53–96 (1973)
Laufer, H.: Taut two-dimensional singularities. Math. Ann.205, 131–164 (1973)
Laufer, H.: On μ for surface singularities. Proc. Symposia Pure Math.30, 45–49 (1977)
Laufer, H.: Minimally elliptic singularities. Amer. J. Math.99, 1257–1295 (1978)
Laufer, H.: Ambient deformations for one-dimensional exceptional sets. Preprint 1978
Leistner, D.: Vollständigkeitssatz für Deformationen von streng pseudokonvexen Mannigfaltigkeiten. Preprint 1976
Lejeune, M., Teissier, B.: Normal cones and sheaves of relative jets. Compositio Math.28, 305–331 (1974)
Pinkham, H.: Deformations of algebraic varieties withG m action. Astérisque20, 1–131 (1974)
Pinkham, H.: Deformations of normal surface singularities with ℂ* action. Math. Ann.232, 65–84 (1978)
Riemenschneider, O.: Familien komplexer Räume mit streng pseudokonvexer spezieller Faser. Comment. Math. Helv.39, 547–565 (1977)
Riemenschneider, O.: Halbstetigkeitssätze für 1-konvexe holomorphe Abbildungen. Math. Ann.192, 216–226 (1971)
Teissier, B.: Deformations à type topologique constant. I. Astérisque16, 215–227 (1974)
Wagreich, P.: Elliptic singularities of surfaces. Amer. J. Math.92, 419–454 (1970)
Wahl, J.: Equisingular deformations of normal surface singularities. I. Ann. of Math.104, 325–356 (1976)
Wahl, J.: Equations defining rational singularities. Ann. scient. Éc. Norm. Sup.10, 231–264 (1977)
Wahl, J.: Simultaneous resolution and discriminantal loci. Preprint 1978
Winters, G.: On the existence of certain families of curves. Amer. J. Math.96, 215–228 (1974)
Yau, S.T.: On maximally elliptic singularities. Preprint 1977
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Karras, U. On pencils of curves and deformations of minimally elliptic singularities. Math. Ann. 247, 43–65 (1980). https://doi.org/10.1007/BF01359866
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01359866