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The enhanced Milnor number in higher dimensions
1988The "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, 1997We 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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On the Milnor number of a polar curve of a generic plane branch with one characteristic exponent
Banach Center PublicationsMateusz Masternak, Michał Zakrzewski
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Cancer treatment and survivorship statistics, 2022
Ca-A Cancer Journal for Clinicians, 2022Kimberly D Miller +2 more
exaly
The Milnor number of a function on a space curve germ
, 2008J. Nuño-Ballesteros, J. N. Tomazella
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Families of polynomials with total Milnor number constant
, 1996Hà Huy Vui, A. Zaharia
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Newton polyhedron and Milnor numbers
Functional Analysis and Its Applications, 1975openaire +1 more source
Singular Milnor numbers of non-isolated matrix singularities
2010In 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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