5 papers · 1 filter
The -exponential as a covering map
Amedeo Altavilla, Samuele Mongodi
We employ tools from complex analysis to construct the -logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute…
Remarks on the Levi core
Gian Maria Dall'Ara, Samuele Mongodi
We investigate a few aspects of the notion of Levi core, introduced by the authors in a previous work: a basic finiteness question, the connections with Kohn's algorithm and with C…
Generalized Levi currents and singular loci for families of plurisubharmonic functions
Fabrizio Bianchi, Samuele Mongodi
We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular sets associated to families of plu…
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…
1-Complete semiholomorphic foliations
Samuele Mongodi, Giuseppe Tomassini
A semiholomorphic foliations of type (n, d) is a differentiable real manifold X of dimension 2n + d, foliated by complex leaves of complex dimension n. In the present work, we intr…