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math.CV2022
Quasi-monotone convergence of plurisubharmonic functions
Vincent Guedj, Antonio Trusiani
The complex Monge-Ampère operator has been defined for locally bounded plurisubharmonic functions by Bedford-Taylor in the 80's. This definition has been extended to compact comple…
math.CV2022
Plurisigned hermitian metrics
Daniele Angella, Vincent Guedj, Chinh H. Lu
Let be a compact hermitian manifold of dimension . We study the asymptotic behavior of Monge-Ampère volumes , when varies in the set of h…
math.CV2022
On the extension of quasiplurisubharmonic functions
Dan Coman, Vincent Guedj, Ahmed Zeriahi
Let be a compact Kähler manifold such that admits a cover by Zariski-open Stein sets with the property that has a strictly plurisubharmonic exhaustive potential on…