ﻻ يوجد ملخص باللغة العربية
We present a classification of 2-dimensional, taut, Stein manifolds with a proper $R$-action. For such manifolds the globalization with respect to the induced local $C$-action turns out to be Stein. As an application we determine all 2-dimensional taut, non-complete, Hartogs domains over a Riemann surface.
We prove the existence of global Bishop discs in a strictly pseudoconvex Stein domain in an almost complex manifold of complex dimension 2.
In this paper we investigate a topological characterization of the Runge theorem in the Clifford algebra $ mathbb{R}_3$ via the description of the homology groups of axially symmetric open subsets of the quadratic cone in $mathbb{R}_3$.
We will show that any open Riemann surface $M$ of finite genus is biholomorphic to an open set of a compact Riemann surface. Moreover, we will introduce a quotient space of forms in $M$ that determines if $M$ has finite genus and also the minimal genus where $M$ can be holomorphically embedded.
In this paper we construct open Stein neighbourhoods of compact sets of the form $Acup K$ in a complex space, where $K$ is a compact holomorphically convex set, $A$ is a compact complex curve with boundary $bA$ of class $mathscr C^2$ which may intersect $K$, and $Acap K$ is $mathscr O(A)$-convex.
In this paper we prove that if two normal affine surfaces $S$ and $S$ have isomorphic automophism groups, then every connected algebraic group acting regularly and faithfully on $S$ acts also regularly and faithfully on $S$. Moreover, if $S$ is non-t