10 citations · 100 across the 53 of their papers we have counts for
5 papers · 1 filter
On hyperbolicity and tautness modulo an analytic subset of Hartogs domains
Do Duc Thai, Pascal J. Thomas, Nguyen Van Trao +1
Let be a complex space and a positive homogeneous plurisubharmonic function on $X\times\C^m$. Consider the Hartogs-type domain $Ω_{H}(X):=\{(z,w)\in X\times \C^m:H(z,w)…
Convex domains with locally Levi-flat boundaries
Nikolai Nikolov, Pascal J. Thomas
It is shown that a domain in $\C^n$ which is locally convex and has -smooth Levi-flat boundary is locally linearly equivalent to a Cartesian product of a planar domai…
A characterization of domains in $\C^n$ with locally Levi-flat boundaries
Nikolai Nikolov, Pascal J. Thomas
A domain in $\C^n$ with Levi-flat boundary near a given point is characterized in terms of the boundary behavior of the Kobayashi or Bergman metrics, or of the Bergman kernel. Some…
Green vs. Lempert functions: a minimal example
Pascal J. Thomas
The Lempert function for a set of poles in a domain of at a point is obtained by taking a certain infimum over all analytic disks going through the poles and the…
Limits of multipole pluricomplex Green functions
Jon I. Magnusson, Alexander Rashkovskii, Ragnar Sigurdsson +1
Let be a set of points in a bounded hyperconvex domain in , all tending to 0 as tends to 0. To each set we associate its vanishing ideal and the pluri…