Results 21 to 30 of about 1,001 (184)
Milnor numbers in deformations of homogeneous singularities [PDF]
Bulletin des Sciences Mathématiques, 2021 Let f_0 be a plane curve singularity. We study the Minor numbers of singularities in deformations of f_0. We completely describe the set of these Milnor numbers for homogeneous singularities f_0 in the case of non-degenerate deformations and obtain some partial results on this set in the general case.
Brzostowski, Szymon +2 more
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THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME
Forum of Mathematics, Sigma, 2019 The Chern–Schwartz–MacPherson class of a hypersurface in a nonsingular variety may be computed directly from the Segre class of the Jacobian subscheme of the hypersurface; this has been known for a number of years.
PAOLO ALUFFI
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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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, 2021 We define the Milnor number -- as the intersection number of two holomorphic sections -- of a one-dimensional holomorphic foliation $\mathscr{F}$ with respect to a compact connected component $C$ of its singular set.
Rosas, Rudy +2 more
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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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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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Hyperplane Arrangements and Mixed Hodge Numbers of the Milnor Fiber [PDF]
International Mathematics Research Notices, 2021 Abstract For a complex central essential hyperplane arrangement $\mathcal{A}$, let $F_{\mathcal{A}}$ denote its Milnor fiber. We use Tevelev’s theory of tropical compactifications to study invariants related to the mixed Hodge structure on the cohomology of $F_{\mathcal{A}}$.
Kutler, Max, Usatine, Jeremy
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Image Milnor Number Formulas for Weighted-Homogeneous Map-Germs [PDF]
, 2021 We give formulas for the image Milnor number of a weighted-homogeneous map-germ $(\mathbb{C}^n,0)\to(\mathbb{C}^{n+1},0)$, for $n=4$ and $5$, in terms of weights and degrees.
Peñafort Sanchis, Guillermo +1 more
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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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