Reverse Hölder inequalities on the space of Kähler metrics of a Fano variety and effective openness
Artikel i vetenskaplig tidskrift, 2025
geodesic. In the case of Aubin’s continuity path on a K-unstable Fano variety, the constant in the corresponding Hölder bound is shown to only depend on p and the dimension of X . This leads to some intriguing relations to Harnack bounds and the partial C0 -estimate. In another direction, universal effective openness results are established for the complex singularity exponents (log canonical thresholds) of ω-plurisubharmonic functions on any Fano variety. Finally, another application to K-unstable Fano varieties is given, involving Archimedean Igusa zeta functions.
Författare
Robert Berman
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Algebra och geometri
Mathematische Zeitschrift
0025-5874 (ISSN) 14321823 (eISSN)
Vol. 311 1 2Ämneskategorier (SSIF 2025)
Diskret matematik
Geometri
DOI
10.1007/s00209-025-03801-y