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The enhanced Milnor number in higher dimensions

1988
The "enhanced Milnor number" of a fibered link was introduced homotopy theoretically in [N-R I] . We recall its definition later. It lies in Z(~Z or Z(~(Z/2) according as the ambient dimension is 3 or greater than 3. Its first component is, up to sign, the usual Milnor number, which is the dimension of the Seifert form if the fibered link is simple. We
Walter D. Neumann, Lee Rudolph
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A hyperplane section theorem for Milnor numbers

Mathematische Annalen, 1997
We prove the following result. Theorem. Let \(R\) denote the power series ring \(\mathbb{C} [[X_1,X_2, \dots, X_n]]\) and \(f\in R\) any irreducible element. Assume that for any element \(h\in R\) which is a part of a minimal system of generators of the maximal ideal of \(R\) the ring \(R/(f,h)\) has an isolated singular point.
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Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller   +2 more
exaly  

Newton polyhedron and Milnor numbers

Functional Analysis and Its Applications, 1975
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Singular Milnor numbers of non-isolated matrix singularities

2010
In this dissertation we obtain formulas to describe the local topology of certain non-isolated matrix singularities. We find free divisors in various vector spaces of matrices which include the hypersurface of singular matrices as a component, and use these to express the singular Milnor numbers of matrix singularities in terms of the codimensions of ...
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