30 citations · 77 across the 13 of their papers we have counts for
4 papers · 1 filter
Metric entropy of Kähler potentials
Tomoyuki Hisamoto
We prove sharp metric entropy estimates for spaces of Kähler potentials. In complex dimension , normalized potentials have Kolmogorov entropy of order $\e^{-n}$ in the backgroun…
Remarks on -jet extension and extension of singular Hermitian metric with semipositive curvature
Tomoyuki Hisamoto
We give a new variant of -extension theorem for the jets of holomorphic sections and discuss the relation between the extension problem of singular Hermitian metrics with semi…
Restricted Bergman kernel asymptotics
Tomoyuki Hisamoto
In this paper, we investigate a restricted version of Bergman kernels for high powers of a big line bundle over a smooth projective variety. The geometric meaning of the leading te…
On the volume of graded linear series and Monge-Ampère mass
Tomoyuki Hisamoto
We give an analytic description for the volume of a graded linear series.