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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.DG2026
Quantizing Geodesics in Kähler and Sasaki Geometry
Gilles Courtois, Eleonora Di Nezza, Thomas Franzinetti
The space of Kähler potentials can be quantized through the classical Fubini-Study map, relating infinite-dimensional geometric structures to finite-dimensional symmetric spaces. W…