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- Université Toulouse III - Paul SabatierFR936 papers
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4 papers · 2 filters
Comparison of the Bergman kernel and the Carathéodory--Eisenman volume
Nikolai Nikolov, Pascal J. Thomas
It is proved that for any domain in the Caratheodory--Eisenman volume is comparable with the volume of the indicatrix of the Caratheodory metric up to small/large con…
Stability of solutions to complex Monge-Ampere flows
Vincent Guedj, Hoang Chinh Lu, Ahmed Zeriahi
We establish a stability result for elliptic and parabolic complex Monge-Amp{è}re equations on compact K{ä}hler manifolds, which applies in particular to the K{ä}hler-Ricci flow. D…
Pluripotential kahler-ricci flows
Vincent Guedj, Hoang Chinh Lu, Ahmed Zeriahi
We develop a parabolic pluripotential theory on compact K{ä}hler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Amp{è}re equations. We provid…
Toric Pluripotential Theory
Vincent Guedj, Ahmed Zeriahi, Dan Coman +1
We study finite energy classes of quasiplurisubharmonic (qpsh) functions in the setting of toric compact K{ä}hler manifolds. We characterize toric qpsh functions and give necessary…