View More View Less
  • 1 University of Kaiserslautern, Erwin-Schrödinger-Str., 67663 Kaiserslautern, Germany
  • 2 Beihang University, SMSS, 37 Xueyuan Lu, Haitian District, Beijing 100096, China
  • 3 University of Lahore, Near Raiwind Road, Lahore 54000, Pakistan
Restricted access

Purchase article

USD  $25.00

1 year subscription (Individual Only)

USD  $800.00

We present the algorithms for computing the normal form of unimodular complete intersection surface singularities classified by C. T. C. Wall. He indicated in the list only the μ-constant strata and not the complete classification in each case. We give a complete list of surface unimodular singularities. We also give the description of a classifier which is implemented in the computer algebra system Singular.

  • [1]

    Afzal, D. and Pfister, G., A classifier for simple isolated complete interssection singularities, Studia Scientiarum Mathematicarum Hungarica, 52 ( 1 ), (2015), 111.

    • Search Google Scholar
    • Export Citation
  • [2]

    Afzal, D. and Pfister, G., classifyci.lib, A Singular 3-1-6 library for classifying simple isolated complete singularities for the base field of characteristic 0 (2013).

    • Search Google Scholar
    • Export Citation
  • [3]

    Afzal, D. and Pfister, G., A classifier for unimodular isolated complete interssection curve singularities, Analele Univ. Ovidius din Constanta, Math. Series, 24 ( 1 ), (2016), 95119.

    • Search Google Scholar
    • Export Citation
  • [4]

    De Jong, T. and Pfister, G., Local Analytic Geometry, Vieweg, (2000).

  • [5]

    Decker, W., Greuel, G.-M., Pfister, G. and Schönemann, H., Singular 3-1-6 – A computer algebra system for polynomial computations. http://www.singular.uni-kl.de (2013).

    • Search Google Scholar
    • Export Citation
  • [6]

    Giusti, M., Classification des Singularités Isolées Simples d’Intersections Complètes, Proc. Symp. Pure Math., 40, (1983), 457494.

    • Search Google Scholar
    • Export Citation
  • [7]

    Greuel, G.-M.: Der Gauß-Manin-Zusamnenhang isolierter singuläritaten von vollständigen Durchschnitten. Math. Ann. 214(1975), 235266.

    • Search Google Scholar
    • Export Citation
  • [8]

    Greuel, G.-M.: Pfister, G.: A Singular Introduction to Commutative Algebra. Second edition, Springer (2007).

  • [9]

    Wall, C.T.C.: Classification of unimodal isolated singularities complete intersections. Proc. Symp. Pure Math. 40, Part2, Amer. Math. Soc. (1983), 625640.

    • Search Google Scholar
    • Export Citation