Kähler–Einstein metrics on families of Fano varieties
Kähler–Einstein metrics on families of Fano varieties
Abstract Given a one-parameter family of ℚ-Fano varieties such that the central fiber admits a unique Kähler–Einstein metric, we provide an analytic method to show that the neighboring fiber admits a unique Kähler–Einstein metric. Our results go beyond by establishing uniform a priori estimates on the Kähler–Einstein potentials along fully …