Projective simplicity of groups of rational points of simply connected algebraic groups defined over number fields
G. Tomano (1990)
Banach Center Publications
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G. Tomano (1990)
Banach Center Publications
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Kuribayashi, Katsuhiko, Yamaguchi, Toshihiro (2006)
Algebraic & Geometric Topology
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Krystyna Ziętak (1970)
Applicationes Mathematicae
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John B. Friedlander, S. Halperin (1979)
Inventiones mathematicae
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Aniceto Murillo (1990)
Extracta Mathematicae
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Samson Saneblidze (1992)
Manuscripta mathematica
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Jean-Claude Thomas (1981)
Annales de l'institut Fourier
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In rational homotopy theory, we show how the homotopy notion of pure fibration arises in a natural way. It can be proved that some fibrations, with homogeneous spaces as fibre are pure fibrations. Consequences of these results on the operation of a Lie group and the existence of Serre fibrations are given. We also examine various measures of rational triviality for a fibration and compare them with and whithout the hypothesis of pure fibration.
Biswas, Indranil, Huisman, Johannes (2007)
Documenta Mathematica
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Mark I. Krusemeyer (1973)
Inventiones mathematicae
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Stefan Papadima (1985)
Annales de l'institut Fourier
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Rational homotopy methods are used for studying the problem of the topological smoothing of complex algebraic isolated singularities. It is shown that one may always find a suitable covering which is smoothable. The problem of the topological smoothing (including the complex normal structure) for conical singularities is considered in the sequel. A connection is established between the existence of certain relations between the normal Chern degrees of a smooth projective variety and...
Tasoev, B.G. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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