2 Arnaud Bodin and Mihai Tibăr
نویسنده
چکیده
The following numerical control over the topological equivalence is proved: two complex polynomials in n 6= 3 variables and with isolated singularities are topologically equivalent if one deforms into the other by a continuous family of polynomial functions fs : C n → C with isolated singularities such that the degree, the number of vanishing cycles and the number of atypical values are constant in the family.
منابع مشابه
Topological Equivalence in Families of Complex Polynomials
We show that two polynomials, joined by a continuous family of polynomial functions fs : C n → C of constant degree and with isolated singularities, are topologically equivalent if n 6= 3 and if two numerical invariants are constant in the family: the number of vanishing cycles and the number of atypical values.
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The following numerical control over the topological equivalence is proved: two complex polynomials in n 6= 3 variables and with isolated singularities are topologically equivalent if one deforms into the other by a continuous family of polynomial functions fs : C → C with isolated singularities such that the degree, the number of vanishing cycles and the number of atypical values are constant ...
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