Are the Isolated Singularities of Complete Intersections Determined by Their Singular Subspaces?
Alexandru Dimca (1984)
Mathematische Annalen
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Alexandru Dimca (1984)
Mathematische Annalen
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Marko Roczeń (1988)
Banach Center Publications
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Pablo V. Négron Marrero (1990/91)
Numerische Mathematik
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Buchner, Klaus (1997)
General Mathematics
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R.W. Thatcher (1975/76)
Numerische Mathematik
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Alexander Rashkovskii (2012)
Annales Polonici Mathematici
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A plurisubharmonic singularity is extreme if it cannot be represented as the sum of non-homothetic singularities. A complete characterization of such singularities is given for the case of homogeneous singularities (in particular, those determined by generic holomorphic mappings) in terms of decomposability of certain convex sets in ℝⁿ. Another class of extreme singularities is presented by means of a notion of relative type.
Alain Joets (2008)
Banach Center Publications
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When drawing regular surfaces, one creates a concrete and visual example of a projection between two spaces of dimension 2. The singularities of the projection define the apparent contour of the surface. As a result there are two types of generic singularities: fold and cusp (Whitney singularities). The case of singular surfaces is much more complex. A priori, it is expected that new singularities may appear, resulting from the "interaction" between the singularities of the surface and...
J.M Ball, G. Knowles (1987)
Numerische Mathematik
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Gert-Martin Greuel (1986)
Manuscripta mathematica
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Paweł Wójcik, Michail A. Sheshko, Dorota Pylak, Paweł Karczmarek (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In the present paper, we give the exact solutions of a singular equation with logarithmic singularities in two classes of functions and construct formulae for the approximate solutions.
G.M. Greuel, H. Kröning (1990)
Mathematische Zeitschrift
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Szymon Brzostowski, Tadeusz Krasiński (2014)
Open Mathematics
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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). We prove that for the singularities in the X 9 singularity class their jumps are equal to 2.
A.O. Griewank (1980)
Numerische Mathematik
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Tari, Farid (1992)
Experimental Mathematics
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