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Milnor Fiber Consistency via Flatness of the Critical Locus

Alex Hof
Dec 2022
摘要
We describe a new algebro-geometric perspective on the study of the Milnorfibration and, as a first step toward putting it into practice, prove apowerful criterion for a deformation of a holomorphic function germ to preservethe Milnor fibration in an appropriate sense. As a corollary, we obtain amethod of partitioning the space of homogeneous polynomials of a fixed degreeinto finitely many locally closed subsets such that the fiber diffeomorphismtype of the Milnor fibration is constant along each subset.
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