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5 papers · 2 filters
Open problems in pluripotential theory
Slawomir Dinew, Vincent Guedj, Ahmed Zeriahi
We propose a list of open problems in pluripotential theory partially motivated by their applications to complex differential geometry. The list includes both local questions as we…
Wepable Inner Functions
Alexander Borichev, Artur Nicolau, Pascal J. Thomas
Following Gorkin, Mortini, and Nikolski, we say that an inner function in of the unit disc has the WEP property if its modulus at a point is bounded from below b…
Volume and Self-Intersection of Differences of Two Nef Classes
Dan Popovici
Let and be nef cohomology classes of bidegree on a compact -dimensional Kähler manifold such that the difference of intersection numbers $\{α\}^n -…
-Borel-Laplace summation for -difference equations with two slopes
Thomas Dreyfus, Anton Eloy
In this paper, we consider linear -difference systems with coefficients that are germs of meromorphic functions, with Newton polygon that has two slopes. Then, we explain how to…
q-Deformation of Meromorphic Solutions of Linear Differential Equations
Thomas Dreyfus
In this paper, we consider the behaviour, when goes to , of the set of a convenient basis of meromorphic solutions of a family of linear -difference equations. In particu…