3 papers
math.CV2026
Regularity of rooftop envelopes
Eleonora Di Nezza, Alexander Rashkovskii
We study continuity, Hölder regularity, and -regularity of geodesics between continuous plurisubharmonic functions on bounded domains of . We then derive reg…
math.CV2026
Log canonical thresholds at infinity
Carles Bivià-Ausina, Alexander Rashkovskii
The paper considers a global version of the notion of log canonical threshold for plurisubharmonic functions of logarithmic growth in , aiming at description of t…
math.CV2024
Geodesic connectivity and rooftop envelopes in the Cegrell classes
Per Åhag, Rafał Czyż, Chinh H. Lu +1
This study examines geodesics and plurisubharmonic envelopes within the Cegrell classes on bounded hyperconvex domains in . We establish that solutions possessing com…