Results 21 to 30 of about 21,780 (149)
A geometric interpretation of Milnor’s triple linking numbers [PDF]
Algebraic & Geometric Topology, 2003 Milnor's triple linking numbers of a link in the 3-sphere are interpreted geometrically in terms of the pattern of intersections of the Seifert surfaces of the components of the link. This generalizes the well known formula as an algebraic count of triple points when the pairwise linking numbers vanish.
Mellor, Blake, Melvin, Paul
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Improving the computation of invariants of plane curve singularities
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this article we present an algorithm to compute the incidence matrix of the resolution graph, the total multiplicities, the strict multiplicities and the Milnor number of a reduced plane curve singularity and its implemetation in ...
Binyamin Muhammad Ahsan
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Journal of Occupational Medicine and Toxicology, 2019 Background Methicillin-resistant Staphylococcus aureus contamination on surfaces including turnout gear had been found throughout a number of fire stations.
Daniel Farcas +6 more
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A Classiffier for Unimodular Isolated Complete Intersection Space Curve Singularities
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 C.T.C. Wall classified the unimodular complete intersection singularities. He indicated in the list only the μ-constant strata and not the complete classification in each case.
Afzal Deeba, Pfister Gerhard
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On Sextic Curves with Big Milnor Number [PDF]
, 2002 In this work we present an exhaustive description, up to projective isomorphism, of all irreducible sextic curves in ℙ2 having a singular point of type , A n ,n⩾15 n ≥ 15, only rational singularities and global Milnor number at least 18. Moreover, we develop a method for an explicit construction of sextic curves with at least eight — possibly ...
Artal Bartolo, Enrique +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.
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Tree invariants and Milnor linking numbers with indeterminacy [PDF]
Journal of Knot Theory and Its Ramifications, 2020 This paper concerns the tree invariants of string links, introduced by Kravchenko and Polyak, which are closely related to the classical Milnor linking numbers also known as [Formula: see text]-invariants. We prove that, analogously as for [Formula: see text]-invariants, certain residue classes of tree invariants yield link-homotopy invariants of ...
R. Komendarczyk, A. Michaelides
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Prevalence of Milnor Attractors and Chaotic Itinerancy in 'High'-dimensional Dynamical Systems
, 2003 Dominance of Milnor attractors in high-dimensional dynamical systems is reviewed, with the use of globally coupled maps. From numerical simulations, the threshold number of degrees of freedom for such prevalence of Milnor attractors is suggested to be $5
Kaneko, Kunihiko
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Milnor number and Tjurina number of complete intersections
Mathematische Annalen, 1985 Let (X,x) be an isolated complete intersection singularity of dimension \(n\geq 2\). The main result of this note is a formula for the difference of the Milnor number \(\mu\) (X,x) and dim \(T^ 1_{X,x}\) (the dimension of the base of a miniversal deformation of (X,x)). It is of the form: \(\mu(X,x)-\dim T^ 1_{X,x}=\sum^{n-1}_{p=0}h^{p,0}(X,x)+a_ 1+a_ 2+
Looijenga, Eduard, Steenbrink, Joseph
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Codimension Two Determinantal Varieties with Isolated Singularities [PDF]
, 2011 We study codimension two determinantal varieties with isolated singularities. These singularities admit a unique smoothing, thus we can define their Milnor number as the middle Betti number of their generic fiber.
Maria Aparecida +2 more
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