On generalized Chern classes and Chern numbers of irreducible complex algebraic varieties with arbitrary singularities
Wen-tsun Wu (2007)
Banach Center Publications
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Wen-tsun Wu (2007)
Banach Center Publications
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Clément Caubel, Mihai Tibăr (2003)
Banach Center Publications
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We survey some recent results concerning the behavior of the contact structure defined on the boundary of a complex isolated hypersurface singularity or on the boundary at infinity of a complex polynomial.
G.M. Greuel, H. Kröning (1990)
Mathematische Zeitschrift
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Theo de Jong (1988)
Mathematische Zeitschrift
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Buchner, Klaus (1997)
General Mathematics
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Öztürk, Özer (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 05E05, 14N10, 57R45. We study the structure of the Thom polynomials for A4(−) singularities. We analyze the Schur function expansions of these polynomials. We show that partitions indexing the Schur function expansions of Thom polynomials for A4(−) singularities have at most four parts. We simplify the system of equations that determines these polynomials and give a recursive description of Thom polynomials for A4(−) singularities....
Gert-Martin Greuel (1986)
Manuscripta mathematica
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Antonio Campillo (1988)
Banach Center Publications
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John Scherk (1980)
Inventiones mathematicae
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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.
Roczen, Marko (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Małgorzata Mikosz, Piotr Pragacz, Andrzej Weber (2009)
Fundamenta Mathematicae
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We study Thom polynomials associated with Lagrange singularities. We expand them in the basis of Q̃-functions. This basis plays a key role in the Schubert calculus of isotropic Grassmannians. We prove that the Q̃-function expansions of the Thom polynomials of Lagrange singularities always have nonnegative coefficients. This is an analog of a result on the Thom polynomials of mapping singularities and Schur S-functions, established formerly by the last two authors.
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.
Tari, Farid (1992)
Experimental Mathematics
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Max Benson, Stephen S.-T. Yau (1990)
Mathematische Annalen
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Marko Roczen (1992)
Mathematische Zeitschrift
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Raimnund Blache (1996)
Mathematische Zeitschrift
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