Results 11 to 20 of about 21,780 (149)
Bulletin of the Brazilian Mathematical Society, New Series, 2007 6 pages, 1 figure, v2: references ...
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A generalization of the Milnor number
Mathematische Annalen, 1988 Let M be an n-dimensional connected complex manifold and v be a holomorphic section of a holomorphic line bundle L over M. Take a connected component Y of the zero set X of v and any holomorphic connection \(D=D'+{\bar \partial}\) on L. Then Y is a connected component of the zero set of D'v. Take a small neighbourhood U of Y.
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Proximal Pulmonary Artery Stiffening as a Biomarker of Cardiopulmonary Aging. [PDF]
Aging CellMouse models revealed age‐associated increased circumferential stiffness of the proximal pulmonary artery that was associated with reorientation of collagen and decreased function of the lung and right ventricle. Age‐related transcriptional changes were indicative of senescence, ECM turnover, TGFβ signaling, and altered intercellular signaling among ...
De Man R +22 more
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A bound for the Milnor number of plane curve singularities
Open Mathematics, 2014 Płoski Arkadiusz
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The jump of the Milnor number in the X 9 singularity class
Open Mathematics, 2014 Brzostowski Szymon, Krasiński Tadeusz
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Solvable Groups, Free Divisors and Nonisolated Matrix Singularities II: Vanishing Topology [PDF]
, 2013 In this paper we use the results from the first part to compute the vanishing topology for matrix singularities based on certain spaces of matrices. We place the variety of singular matrices in a geometric configuration of free divisors which are the ...
Brian Pike +16 more
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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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Image Milnor Number Formulas for Weighted-Homogeneous Map-Germs [PDF]
Results in Mathematics, 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. Our expressions are obtained by a purely interpolative method, applied to a result by Ohmoto. We use our approach to recover the formulas for $n=2$ and $3$ due to Mond and Ohmoto,
Irma Pallarés +1 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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The universal sl_2 invariant and Milnor invariants [PDF]
, 2016 The universal sl_2 invariant of string links has a universality property for the colored Jones polynomial of links, and takes values in the h-adic completed tensor powers of the quantized enveloping algebra of sl_2.
Meilhan, Jean-Baptiste, Suzuki, Sakie
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