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Pseudo-convexité locale dans les variétés kahlériennes

Georges Elencwajg (1975)

Annales de l'institut Fourier

Soit D un ouvert relativement compact et localement pseudo-convexe de la variété analytique X .Alors,1) Si le fibré tangent T G ( X ) est positif, D est 0 -convexe.2) Si X admet une fonction strictement plurisousharmonique, D est de Stein.3) Si X est l’espace total d’un morphisme de Stein à base de Stein, D est de Stein.

Pseudo-real principal Higgs bundles on compact Kähler manifolds

Indranil Biswas, Oscar García-Prada, Jacques Hurtubise (2014)

Annales de l’institut Fourier

Let X be a compact connected Kähler manifold equipped with an anti-holomorphic involution which is compatible with the Kähler structure. Let G be a connected complex reductive affine algebraic group equipped with a real form σ G . We define pseudo-real principal G -bundles on X . These are generalizations of real algebraic principal G -bundles over a real algebraic variety. Next we define stable, semistable and polystable pseudo-real principal G -bundles. Their relationships with the usual stable, semistable...

Puiseux Expansion of a Cuspidal Singularity

Maciej Borodzik (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

We present an effective and elementary method of determining the topological type of a cuspidal plane curve singularity with given local parametrization.

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