Solution of the ?-Equation with Uniform Estimates on Strictly q-Convex Domains with Non-Smooth Boundary.
Solution of the -equation on non-smooth strictly -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem
Poincaré automorphisms for nondegenerate CR quadrics.
Free CR distributions
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a discrete classification of the pointwise types of the homogeneous models. The cases of CR dimensions n and codimensions n 2 are among the very few possibilities of the so-called parabolic geometries. Indeed, the homogeneous model turns out to be PSU(n+1,n)/P with a suitable parabolic subgroup P. We study the geometric properties of such real (2n+n 2)-dimensional submanifolds in for all n > 1. In...
Holomorphic automorphisms of quadrics.
Special normal form of a hyperbolic CR-manifold in ℂ⁴
We give a special normal form for a non-semiquadratic hyperbolic CR-manifold M of codimension 2 in ℂ⁴, i.e., a construction of coordinates where the equation of M satisfies certain conditions. The coordinates are determined up to a linear coordinate change.
Remarks on CR-manifolds of codimension in
The aim of the article is to give a conceptual understanding of Kontsevich’s construction of the universal element of the cohomology of the coarse moduli space of smooth algebraic curves with given genus and punctures. In a first step the author presents a toy model of tree graphs coloured by an operad for which the graph complex and the universal cycle will be constructed. The universal cycle has coefficients in the operad for -algebras with trivial differential over the (dual) cobar construction...
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