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Are the isolated singularities of complete intersections determined by their singular subspaces? (English) Zbl 0519.32009


MSC:

32S05 Local complex singularities
14M10 Complete intersections
14B05 Singularities in algebraic geometry
14M12 Determinantal varieties
32B10 Germs of analytic sets, local parametrization

Citations:

Zbl 0499.32008

References:

[1] Dimca, A.: Function germs defined on isolated hypersurface singularities. Compositio Math. (to appear) · Zbl 0548.32005
[2] Dimca, A., Gibson, C.G.: Classification of equidimensional contact unimodular map germs. Math. Scand. (to appear) · Zbl 0579.32014
[3] Hodge, W., Pedoe, D.: Methods of algebraic geometry. Cambridge: Cambridge University Press 1947 · Zbl 0055.38705
[4] Martinet, J.: Singularités de fonctions et applications differentiables. Monografias Mat. Rio de Janeiro: Pontifica University Catholica (1977); London Math. Soc. Lecture Notes Series (1982-1983)
[5] Mather, J.N.: Stability ofC ? mappings. IV. Classification of stable germs by?-algebras. Publ. Math. IHES37, 223-248 (1970) · Zbl 0202.55102
[6] Mather, J.N., Yau, S.S.T.: Classification of isolated hypersurface singularities by their moduli algebras. Invent. math.69, 243-251 (1982) · Zbl 0499.32008 · doi:10.1007/BF01399504
[7] Teissier, B.: The hunting of invariants in the geometry of the discriminant. Real and complex singularities. Ed. P. Holm, Alphen aan den Rijn: Sijthoff and Noordhoff 1977 · Zbl 0388.32010
[8] Wall, C.T.C.: Finite determinacy of smooth map-germs. Bull. London Math. Soc.13, 481-539 (1981) · doi:10.1112/blms/13.6.481
[9] Wirthmüller, K.: Singularities determined by their discriminant. Math. Ann.252, 237-245 (1980) · doi:10.1007/BF01420086
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