8 citations · 11 across the 4 of their papers we have counts for
4 papers
Quantization of the Kähler-Ricci flow and optimal destabilizer for a Fano manifold
Tomoyuki Hisamoto
For a Fano manifold, We consider the geometric quantization of the Kähler-Ricci flow and the associated entropy functional. Convergence to the original flow and entropy is establis…
Orthogonal projection of a test configuration to vector fields
Tomoyuki Hisamoto
Given a polarized complex manifold, projection of a torus-equivariant test configuration to holomorphic vector fields was introduced by G. Székelyhidi, as the limit of the associat…
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…