30 citations · 77 across the 13 of their papers we have counts for
4 papers · 1 filter
On the limit of spectral measures associated to a test configuration
Tomoyuki Hisamoto
We apply the integral formula of volumes to the family of graded linear series constructed from any test configuration. This solves the conjecture raised by Witt--Nyström so that t…
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.