Computation of Milnor numbers and critical values at infinity

نویسنده

  • Arnaud Bodin
چکیده

We describe how to compute topological objects associated to a complex polynomial map of n > 2 variables with isolated singularities. These objects are: the affine critical values, the affine Milnor numbers for all irregular fibers, the critical values at infinity, and the Milnor numbers at infinity for all irregular fibers. Then for a family of polynomials we detect parameters where the topology of the polynomials can change. Implementation and examples are given with the computer algebra system Singular.

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عنوان ژورنال:
  • J. Symb. Comput.

دوره 38  شماره 

صفحات  -

تاریخ انتشار 2004