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Complex-symmetric spaces

Ralf Lehmann (1989)

Annales de l'institut Fourier

A compact complex space X is called complex-symmetric with respect to a subgroup G of the group Aut 0 ( X ) , if each point of X is isolated fixed point of an involutive automorphism of G . It follows that G is almost G 0 -homogeneous. After some examples we classify normal complex-symmetric varieties with G 0 reductive. It turns out that X is a product of a Hermitian symmetric space and a compact torus embedding satisfying some additional conditions. In the smooth case these torus embeddings are classified using...

Construction d’hypersurfaces irréductibles avec lieu singulier donné dans n

Jean-Pierre Demailly (1980)

Annales de l'institut Fourier

Étant donné un ensemble analytique S de codimension 2 dans C n , nous construisons des hypersurfaces irréductibles de lieu singulier S , avec contrôle de la croissance. À partir d’un contre-exemple au problème de Bezout transcendant, dû à M. Cornalba et B. Shiffman, nous montrons l’existence d’une courbe irréductible d’ordre 0 dans C 2 , dont le lieu singulier est d’ordre infini. Nous étudions également en application certaines propriétés arithmétiques de l’anneau de convolution ' ( R n ) .

Continuous division of differential operators

Herwig Hauser, Luis Narváez-Macarro (2001)

Annales de l’institut Fourier

In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant Rank Theorem for analytic maps between power series spaces, given by Müller and the first author.

Convergence of holomorphic chains

Sławomir Rams (1997)

Annales Polonici Mathematici

We endow the module of analytic p-chains with the structure of a second-countable metrizable topological space.

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