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CARROUSEL MONODROMY AND LEFSCHETZ NUMBER OF SINGULARITIES
1993Let \(f: (X,x) \to (\mathbb{C}, 0)\) be a holomorphic function on an analytic germ \((X,x)\). Using the so-called carrousel construction of Lê the Lefschetz number and the zeta function of the monodromy of the neighbouring cycles are computed.
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Number of Singularities of Stable Maps
Journal of Geometry, 2008We first derive a simple Euler characteristic formula for simplicial maps, based on their fibers. As applications, we give several formulas relating the Euler characteristics and the numbers of singularities of smooth generic maps in explicit situations, among which are singular surfaces in 3-dimensional manifolds, Morse functions on surfaces, stable ...
Jorge T. Hiratuka, Osamu Saeki
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On the Milnor and Tjurina Numbers of Zero-Dimensional Singularities
Functional Analysis and Its Applications, 2022The Milnor number of an isolated complete intersection is greater than or equal to its Tjurina number if and only if the hypersurface is quasi-homogeneous. To calculate the Milnor and Tjurina numbers, the Poincaré-de Rham complex and the cotangent complex are useful.
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Singular numbers of smooth kernels
Mathematical Proceedings of the Cambridge Philosophical Society, 1988In [12] we elaborate the vague principle that the behaviour at infinity of the decreasing sequence of singular numbers sn(K) of a Hilbert–Schmidt kernel K is at least as good as that of the sequence {n−1/qω(n−1;K)}, where ωp is an Lp-modulus of continuity of K and q = p/(p − 1), where 1 ≤ p ≤ 2.
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Singular Turán numbers of stars
Pure and Applied Mathematics Quarterly, 2022Gaoxing Sun +3 more
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A systematic derived sinh based method for singular and nearly singular boundary integrals
Engineering Analysis With Boundary Elements, 2021Wenliao Du, Xiaoyu Wen, Haoqi Wang
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An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
Computer Methods in Applied Mechanics and Engineering, 2013Stéphane Bordas +2 more
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Factoring numbers using singular integers
Proceedings of the twenty-third annual ACM symposium on Theory of computing - STOC '91, 1991openaire +1 more source