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Compact pseudoconcave sets
Zbigniew Slodkowski
Replying to three questions posed by N. Shcherbina, we show that a compact psudoconcave set can have the core smaller than itself, that the core of a compact set must be pseudoconc…
A class of strictly pseudoconvex domains with non-pluripolar core
Zbigniew Slodkowski
We construct a class of strictly pseudoconvex domains in Cdwhose core has non-empty interior. Consequently these cores are not pluripolar. This answers a question posed by Harz, Sh…
Domains with a continuous exhaustion in weakly complete surfaces
Samuele Mongodi, Zbigniew Slodkowski
In previous works, G. Tomassini and the authors studied and classified complex surfaces admitting a real-analytic pluri-subharmonic exhaustion function; let be such a surface a…
Some properties of Grauert type surfaces
Samuele Mongodi, Zbigniew Slodkowski, Giuseppe Tomassini
In a previous work, we classified weakly complete surfaces which admit a real analytic plurisubharmonic exhaustion function; we showed that, if they are not proper over a Stein spa…
Weakly complete complex surfaces
Samuele Mongodi, Zbigniew Slodkowski, Giuseppe Tomassini
A weakly complete space is a complex space admitting a (smooth) plurisubharmonic exhaustion function. In this paper, we classify those weakly complete complex surfaces for which su…