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- W2553441462 abstract "We investigate the constancy of the Milnor number of one parameter deformations of holomorphic germs of functions f : (Cn, 0) → (C, 0) with isolated singularity, in terms of some Newton polyhedra associate to such germs. We show that if the Jacobian ideals J(ft) = 〈∂ft/∂x1 . . . , ∂ft/∂xn〉 of a deformation ft(x) = f(x)+ P` s=1 δs(t)gs(x) are non-degenerate on some fixed Newton polyhedron Γ+, then this family is μ-constant for small values of t, if and only if all germs gs have non-decreasing Γ-order with respect to f . For the μ-constant families of germs obtained as a consequence of these results we have a positive answer for the Zariski’s question: Whether for a hypersurface singularity the multiplicity is an invariant of the topological type? May, 2002 ICMC-USP ." @default.
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- W2553441462 date "2002-01-01" @default.
- W2553441462 modified "2023-09-26" @default.
- W2553441462 title "Deformations with constant Milnor number and multiplicity of non-degenerate complex hypersurfaces" @default.
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