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6 papers · 2 filters
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)…
Hölder continuous solutions to Monge-Ampère equations
Jean-Pierre Demailly, Slawomir Dinew, Vincent Guedj +3
Let be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to the complex Monge-Ampère equation on with right hand side, . The same…
Kähler-Einstein fillings
Vincent Guedj, Boris Kolev, Nader Yeganefar
We show that on an open bounded smooth strongly pseudoconvex subset of $\CC^{n}$, there exists a Kähler-Einstein metric with positive Einstein constant, such that the metric restri…
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…
The Bohr Radius for an Elliptic Condenser
Patrice Lassère, Emmanuel Mazzilli
We compute the exact value of the Bohr radius associated to an elliptic condenser of the complex plane and its Faber polynomial basis.
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…