Results 31 to 40 of about 8,612,691 (178)
The Milnor number of a hypersurface singularity in arbitrary characteristic [PDF]
, 2015 The Milnor number of an isolated hypersurface singularity, defined as the codimension $\mu(f)$ of the ideal generated by the partial derivatives of a power series $f$ whose zeros represent locally the hypersurface, is an important topological invariant ...
Hefez, Abramo +2 more
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Milnor Number of Weighted-Le-Yomdin Singularities [PDF]
International Mathematics Research Notices, 2010 At the beginning of the seventies, O. Zariski proposed several problems related with the (embedded) topology of a germ of a n-dimensional hypersurface singularity defined by the zero locus of a germ of a complex analytic function. The second one was roughly stated as "if two analytic hypersurface germs are topologically equivalent then their tangent ...
E. A. Bartolo +3 more
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Semilocal Milnor K-theory [PDF]
, 2022 In this paper, semilocal Milnor $K$-theory of fields is introduced and studied. A strongly convergent spectral sequence relating semilocal Milnor $K$-theory to semilocal motivic cohomology is constructed.
Grigory Garkusha, Garkusha, Grigory
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On Milnor and Tjurina Numbers of Foliations
Bulletin of the Brazilian Mathematical Society, New Series39 pages, 3 ...
Arturo Fernández-Pérez +2 more
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Milnor numbers for surface singularities [PDF]
Israel Journal of Mathematics, 2000 An additive formula for the Milnor number of an isolated complex hypersurface singularity is shown. We apply this formula for studying surface singularities. Durfee's conjecture is proved for any absolutely isolated surface and a generalization of Yomdin singularities is given.
openaire +2 more sources
Model‐Agnostic Influential Outlier Metric
Stat, Volume 15, Issue 3, September 2026.ABSTRACT The influential outlier metric (IOM) provides model‐agnostic influential outlier detection. We define influence of an observation using a combination of SHapley Additive exPlanation (SHAP) values and the residual. Both are transformed using normalizing flows, changing their respective measures to Gaussian distributions.
Colin C. Jones, David A. Campbell
wiley +1 more source
Isometric immersions into three‐dimensional unimodular metric Lie groups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro +2 more
wiley +1 more source
From Milnor number to the Lê\'s Milnor number
, 2011 Neste trabalho,apresentamos um breve compêndio sobre o estudo topológico das fibras de Milnor. Abordamoso caso clássico, estudado por J. Milnor, e a generalização apresentada por Lê D. T.
Camila Mariana Ruiz +1 more
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The jump of the Milnor number of quasihomogeneous singularities for linear deformations [PDF]
, 2023 The jump of the Milnor number of an isolated singularity $f_0$ is the minimal non-zero difference between the Milnor numbers of $f_0$ and one of its deformations $f_s$.
Zakrzewska, Aleksandra
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