## Algebraic Curves by Walker R. J.

By Walker R. J.

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Extra resources for Algebraic Curves

Sample text

Classification of Functions and Mappings hyperplane containing the image ofboth differentials df(x 1 ) and df(x 2 ). Another interesting and nonobvious fact is that J is nonsingular. We remark that if corank df(O) = 1 (the complete intersection is equivalent to a hypersurface), then ni C-+ Cis an isomorphism and J ~ C. 6). This fact is generalized by the following conjecture ofK. Saito. Conjecture. The germ of the complement to the discriminant in the base of a contact-versal deformation of a complete intersection of positive dimension is a K(n, 1) space.

Q1) are 11-dimensional (Greuel (1980)), the indicated polynomials give other formulas for the computation ofthe Milnor number. Aleksandrov (1985) also considered a method for computing the Hodge numbers of a mixed Hodge structure on Hf~lq(X;

Otherwise they are solid. 4, of constructing Dynkin diagrams from the diagrams ofless complicated singularities generalizes to the case < 31 § 2. Complete Intersections of complete intersections. This generalization permits us to obtain diagrams of the initial part of the classification of the singularities of complete intersections of codimension 2 in ccm+ 2 that do not reduce to singularities of hypersurfaces. 1 that this classification begins with Dm+ 3 , the intersection of two quadrics in general position.