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Solution of the ?-Equation with Uniform Estimates on Strictly q-Convex Domains with Non-Smooth Boundary.

Gerd Schmalz — 1989

Mathematische Zeitschrift

Solution of the $\bar{\partial}$ -equation on non-smooth strictly $q$ -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem

Gerd Schmalz — 1991

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Poincaré automorphisms for nondegenerate CR quadrics.

Vladimir Ezov; Gerd Schmalz — 1994

Mathematische Annalen

Free CR distributions

Gerd Schmalz; Jan Slovák — 2012

Open Mathematics

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 $ℂ^{n + n^{2}}$ for all n > 1. In...

Holomorphic automorphisms of quadrics.

Gerd Schmalz; Vladimir V. Ezov — 1994

Mathematische Zeitschrift

Special normal form of a hyperbolic CR-manifold in ℂ⁴

Vladimir V. Ežov; Gerd Schmalz — 1998

Annales Polonici Mathematici

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 $2$ in $C^{4}$

Schmalz, Gerd — 1999

Proceedings of the 18th Winter School "Geometry and Physics"

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 $𝒫$ for which the graph complex and the universal cycle will be constructed. The universal cycle has coefficients in the operad for $Ω (𝒫^{*})$ -algebras with trivial differential over the (dual) cobar construction...

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Currently displaying 1 – 7 of 7

Solution of the ?-Equation with Uniform Estimates on Strictly q-Convex Domains with Non-Smooth Boundary.

Solution of the $\bar{\partial}$ -equation on non-smooth strictly $q$ -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem

Poincaré automorphisms for nondegenerate CR quadrics.

Free CR distributions

Holomorphic automorphisms of quadrics.

Special normal form of a hyperbolic CR-manifold in ℂ⁴

Remarks on CR-manifolds of codimension $2$ in $C^{4}$

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Formula preview

Currently displaying 1 – 7 of 7

Solution of the ?-Equation with Uniform Estimates on Strictly q-Convex Domains with Non-Smooth Boundary.

Solution of the ∂ ¯ -equation on non-smooth strictly q -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem

Poincaré automorphisms for nondegenerate CR quadrics.

Free CR distributions

Holomorphic automorphisms of quadrics.

Special normal form of a hyperbolic CR-manifold in ℂ⁴

Remarks on CR-manifolds of codimension 2 in C 4

Solution of the $\bar{\partial}$ -equation on non-smooth strictly $q$ -concave domains with Hölder estimates and the Andreotti-Vesentini separation theorem

Remarks on CR-manifolds of codimension $2$ in $C^{4}$