References
[Ab]S. Abhyankar,Coverings of algebraic curves, Amer. J. Math.79 (1957), 825–856.
[A1]M. Artin,Some numerical criteria for contractability of curves on algebraic surfaces, Amer. J. Math.84 (1962), 485–496.
[A2]M. Artin,Lifting of two-dimensional singularities to characteristics zero, Amer. J. Math.88 (1966), 747–762.
[A3]M. Artin,Coverings of the rational double points in characteristics p, in: W. Baily and T. Shioda (eds.),Complex analysis and algebraic geometry, Cambridge University Press, Cambridge, 1977, 11–22.
[F]H. Flenner,Reine lokale ringe der dimension zwei, Math. Ann.216 (1975), 253–263.
[GM]A. Grothendieck andJ. Murre,The tame fundamental group of a formal neighborhood of a divisor with normal crossing on a scheme, Lecture notes in Math,208, Springer-Verlag, Berlin, Heidelberg, New York 1971.
[H-J]F. Hirzebruch andK. Janich,Involutions and singularities, Algebraic Geometry (international colloquium, T.I.F.R., Bomaby, 1968) 219–240, Oxford University Press, Bombay, 1969.
[L]J. Lipman,Rational singularities, with applications to algebraic surfaces and unique factorization. Publ. Math. Inst. Hautes Etud. Sci.36 (1969), 195–278.
[M]D. Mumford,The topology of normal singularities of an algebraic surface and a criterion for simplicity, Publ. Math. Inst. Hautes, Etud. Sci.9 (1961), 5–22.
[O-W]P. Orlick andP. Wagreich,Isolated singularities of algebraic singularities with C * action, Annals of Math.93 (1971), 205–228.
[P]H. Popp,Fundamental gruppen algebraischer manigfaltigkeiten, Lecture notes in Math,176, Springer-Verlag, Berlin, Heidelberg, New York, 1970.
[S1]A. Grothendieck,Revêtements Etales et Groupe Fondamental (SGA1), Lecture notes in Math.224, Springer-Verlag, Berlin, Heidelberg, New York, 1971.
[S2]A. Grothendieck,Conomologie locale des faisceaux cohérents et theorems locaux et globaux (SGA2), North-Holland, Amsterdam, 1968.
Author information
Authors and Affiliations
Additional information
Both authors were partially supported by NSF.
Rights and permissions
About this article
Cite this article
Cutkosky, S.D., Srinivasan, H. Local fundamental groups of surface singularities in characteristicp . Commentarii Mathematici Helvetici 68, 319–332 (1993). https://doi.org/10.1007/BF02565822
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02565822