On the homology and cohomology of complete intersections with isolated singularities
Alexandru Dimca (1986)
Compositio Mathematica
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Alexandru Dimca (1986)
Compositio Mathematica
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L. Saper (1985)
Inventiones mathematicae
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W. Ebeling, C. T. C. Wall (1985)
Compositio Mathematica
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Kurt Behnke, Constantin Kahn, Oswald Riemenschneider (1988)
Banach Center Publications
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Kimio Watanabe (1980)
Mathematische Annalen
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Buchner, Klaus (1997)
General Mathematics
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Wolfgang Ebeling (1984)
Inventiones mathematicae
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G.M. Greuel, H. Kröning (1990)
Mathematische Zeitschrift
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E. M. Chirka (2003)
Annales Polonici Mathematici
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It is proved that any subharmonic function in a domain Ω ⊂ ℂⁿ which is plurisubharmonic outside of a real hypersurface of class C¹ is indeed plurisubharmonic in Ω.
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...
Robert Friedman, Henry Pinkham (1984)
Compositio Mathematica
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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.
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.