Constant Milnor Number Implies Constant Multiplicity for Quasihomogeneous Singularities.
Gert-Martin Greuel (1986)
Manuscripta mathematica
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Gert-Martin Greuel (1986)
Manuscripta mathematica
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Jan Stevens (1993)
Manuscripta mathematica
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Haruhisa Nakajima (1984)
Manuscripta mathematica
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Satyanad Kichenassamy (1986/87)
Manuscripta mathematica
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Buchner, Klaus (1997)
General Mathematics
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Thomas Gawlick (1992)
Manuscripta mathematica
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G.M. Greuel, H. Kröning (1990)
Mathematische Zeitschrift
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Martin Lindner (1978)
Manuscripta mathematica
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Shihoko Ishii (2013)
Annales de l’institut Fourier
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A goal of this paper is a characterization of singularities according to a new invariant, Mather discrepancy. We also show some evidences convincing us that Mather discrepancy is a reasonable invariant in a view point of birational geometry.
Hélène Esnault, Eckart Viehweg (1985)
Mathematische Annalen
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Wolfgang W. Breckner (1996)
Manuscripta 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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Stevens, Jan (1995)
Experimental Mathematics
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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.
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.