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Extremizers of the $J$ functional with respect to the $d_1$ metric by Bachhuber, Sam; Benda, Aaron; Christophel, Benjamin; Darvas, Tamás is a scholarly article available to read on EtoBox.

What is Extremizers of the $J$ functional with respect to the $d_1$ metric about?

In previous work, Darvas-George-Smith obtained inequalities between the large scale asymptotic of the $J$ functional with respect to the $d_1$ metric on the space of toric K\"ahler metrics/rays. In this work we prove sharpness of these inequalities on all toric K\"ahler manifolds, and study the extremizing potentials/rays. On general K\"ahler manifolds we show that existence of radial extremizers is equivalent with the existence of plurisupported currents, as introduced and studied by McCleerey.

Author

Bachhuber, Sam; Benda, Aaron; Christophel, Benjamin; Darvas, Tamás

Published

2023

Language

EN