Literature Cited
Dave Bayer and Mike Stillman, “Macaulay: A system for computation in algebraic geometry and commutative algebra,” In:Computer software available via anonymous ftp from, zariski. harvard. edu.
Kurt Behnke, “On projective resolutions of Frobenius algebras and Gorenstein rings,”Math. Ann.,257, 219–238 (1981).
Kurt Behnke and Jan Arthur Christophersen, “Hypersurface sections and obstructions (rational surface singularities),”Compos. Math.,77, 233–268 (1991).
David A. Buchsbaum and David Eisenbud, “Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3,”Am. J. Math.,99, 447–485 (1977).
Hans Grauert, “Uber die Deformationen isolierter Singularitäten analytischer Mengen,”Invent. Math.,15, 171–198 (1972).
Gert-Martin Greuel, “On deformations of curves and a formula of Deligne,” In:Algebraic Geometry, La Rábida 1981, Berlin, Springer (1982), pp. 141–168.
Herwig Hauser, “La construction de la déformation semi-universelle d'un germe de variété analytique complexe,”Ann. Sci. École Norm. Sup.,18, 1–56 (1985).
Theo de Jong and Duco van Straten “On the base space of the semiuniversal deformation of rational quadruple points,”Ann. Math.,134, 653–678 (1991).
J. Kollár and N. I. Shepherd-Barron, “Threefolds and deformations of surface singularities,”Invent. Math.,99, 299–338 (1988).
Henry C. Pinkham. “Deformations of algebraic varieties withG m -action,”Astérisque, No. 20 (1970).
Oswald Riemenschneider, “Zweidimensionale Quotientensingularitäten: Gleichungen und Syzygien,”Arch. Math.,37, 406–417 (1981).
Ancus Röhr, “Formate rationaler Flächensingularitäten,” Dissertation, Hamburg (1992).
Malka Schaps, “Déformations non singulières de courbes gauches,”Astérisque, No. 7-8, 121–128 (1973).
Jan Stevens, “On the number of points determining a canonical curve,”Indag. Math.,51, 485–494 (1989).
Jan Stevens, “The versal deformation of universal curve singularit ies,”Abh. Math. Sem., Hamburg,63 (1993). 2
G. N. Tjurina, “Locally semiuniversal flat deformations of isolated singularities of complex spaces,”Math. USSR Izv.,3, 967–999 (1970).
Jonathan Wahl, “Smoothings of normal surface singularities,”Topology,20, 219–240 (1981).
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremenaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 20, Topologiya-3, 1994.
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Stevens, J. On the computation of versal deformations. J Math Sci 82, 3713–3720 (1996). https://doi.org/10.1007/BF02362580
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DOI: https://doi.org/10.1007/BF02362580