Mu-Constant Problem

The -constant problem asks whether a holomorphic family of isolated hypersurface singularities with constant Milnor number is topologically trivial. For the surface case, let $F:(C^3×Delta,{0}×Delta)->(C,0)$ be holomorphic over a disk, with , , and an isolated critical point at the origin for every . Assume .

See also

Germ, Hypersurface, Milnor Fiber, Milnor Number, Multiplicity, Zariski Multiplicity Conjecture

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References

Borodzik, M. and Friedl, S. "A Note on a Topological Approach to the

-Constant Problem in Dimension 2." Rev. Mat. Complut. 27, 345-350, 2014. https://doi.org/10.1007/s13163-013-0122-6.Fernández de Bobadilla, J. "Topological Equisingularity of Hypersurfaces with 1-Dimensional Critical Set." Adv. Math. 248, 1199-1253, 2013. https://doi.org/10.1016/j.aim.2013.08.001.

Cite this as:

Weisstein, Eric W. "Mu-Constant Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Mu-ConstantProblem.html

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