arXiv math/03093162003-09math.AGmath.GT

Topological equivalence of complex polynomials

Arnaud Bodin, Mihai Tibar

备注：: 14 pages, revised text for final version
发表信息：: Adv. Math. 199 (2006), no.1, 136-150.
DOI：: 10.1016/j.aim.2005.03.003

英文摘要：

The following numerical control over the topological equivalence is proved: two complex polynomials in $n\not= 3$ variables and with isolated singularities are topologically equivalent if one deforms into the other by a continuous family of polynomial functions $f_s \colon \mathbb{C}^n \to \mathbb{C}$ with isolated singularities such that the degree, the number of vanishing cycles and the number of atypical values are constant in the family.

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