Algebraische Varietäten und q-vollständige komplexe Räume.
Almost Properness of Extremal Mappings
We give a simple proof of almost properness of any extremal mapping in the sense of Lempert function or in the sense of Kobayashi-Royden pseudometric.
An angle metric through the notion of Grassmann representative.
An application of multivariate total positivity to peacocks
We use multivariate total positivity theory to exhibit new families of peacocks. As the authors of [F. Hirsch, C. Profeta, B. Roynette and M. Yor, Peacocks and associated martingales vol. 3. Bocconi-Springer (2011)], our guiding example is the result of Carr−Ewald−Xiao [P. Carr, C.-O. Ewald and Y. Xiao, Finance Res. Lett. 5 (2008) 162–171]. We shall introduce the notion of strong conditional monotonicity. This concept is strictly more restrictive than the conditional monotonicity as defined in [F....
An example of a pseudoconvex domain whose holomorphic sectional curvature of the Bergman metric is unbounded
Let a and m be positive integers such that 2a < m. We show that in the domain the holomorphic sectional curvature of the Bergman metric at z in direction X tends to -∞ when z tends to 0 non-tangentially, and the direction X is suitably chosen. It seems that an example with this feature has not been known so far.
Analytic convexity
Analytic discs method in complex analysis [Book]
Analyticité semi-globale pour le -Neumann dans des domaines pseudoconvexes
Approximation and cohomology vanishing properties of low-dimensional compact sets in a Stein manifold.
Approximation theorems and homology of q-Runge domains in complex spaces.
Asymptotic Morse inequalities for pseudoconcave manifolds
Automorphism Groups of Algebraic Function Fields.