Complex Hypersurfaces
Mostrando 1-7 de 7 artigos, teses e dissertações.
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1. Hypersurfaces with constant mean curvature in the complex hyperbolic space
A classical theorem of A. D. Alexandrov characterized round spheres is extended to the complex hyperbolic space CH2 of constant holomorphic sectional curvature. A detailed description of the horospheres and equidistant hypersurfaces in CH2 determining in particular their stability, is also given.
Publicado em: 2011
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2. Sobre distribuição e folheações holomorfas de codimensão maior do que um
Let w be a holomorphic LDS r-form on a complex manifold M. In the case M = Cn, we show that if ker(w) admits a trivial subbundle of rank k, then there exists a holomrphic LDS (r - k)-form n on Cn such that ! is the exterior product of k with the product of k linearly independent global sections of ker(w). In the case that M is compact and connected we approa
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 14/10/2010
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3. A conjectura de Zariski para a multiplicidade
In his retiring Presidential address to the American Mathematical Society in 1971, Zariski proposed some questions in the Theory of Singularities. One of them concerns the topological invariance of the multiplicity of complex hypersurfaces. In more accurate terms, Zariski asked: if two complex hypersurfaces are homeomorphic as embedded varieties, then are th
Publicado em: 2010
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4. Números de Lê e classes de Milnor de hipersuperfícies analíticas complexas / Lê numbers and Milor classes of complex analytic hypersurfaces
Este trabalho está dividido em duas partes distintas. Na primeira parte caracterizamos os números de Lê de polinômios que são rodutos de polinômios de Pham-Brieskorn de mesmo tipo, que denominamos de arranjos de Pham-Brieskorn, obtendo fórmulas para estes números somente utilizando o número de variáveis, os pesos e o grau de homogeneidade destes po
Publicado em: 2010
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5. Complex submanifolds in real-analytic pseudoconvex hypersurfaces
A theorem is given that guarantees the existence of nontrivial complex analytic submanifolds in real-analytic pseudoconvex boundaries near real-analytic submanifolds with holomorphic vectorfields on which the Levi form vanishes. Applications to the δ̄-Neumann problem and to the existence of Stein neighborhoods are discussed.
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6. Criterion for biholomorphic equivalence of isolated hypersurface singularities
Two germs of complex analytic hypersurfaces with isolated singularities are biholomorphically equivalent if and only if they have the same dimension and their moduli algebras are isomorphic.
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7. Pseudoconformal Geometry of Hypersurfaces in Cn+1
The pseudoconformal geometry (CR structure) of a real hypersurface M in Cn+1 is reviewed. We give an alternative formulation of a theorem of Cartan-Tanaka-Chern on the existence of a unique normalized Cartan connection on a principal bundle Y over M. A family of curves defined by this connection, called chains, is shown to be the projection of light rays of