33 citations · 67 across the 14 of their papers we have counts for
9 papers · 1 filter
A Hilbert--Mumford criterion for nilsolitons
Yoshinori Hashimoto
We give an algebraic criterion for a nilpotent real Lie algebra and prove that it provides a necessary and sufficient condition for the associated nilpotent Lie group to admit left…
On uniform log -stability for constant scalar curvature Kähler cone metrics
Takahiro Aoi, Yoshinori Hashimoto, Kai Zheng
We prove that the existence of constant scalar curvature Kähler metrics with cone singularities along a divisor implies log -polystability and -uniform log -stability, whe…
Anticanonically balanced metrics and the Hilbert-Mumford criterion for the -invariant of Fujita-Odaka
Yoshinori Hashimoto
We prove that the stability condition for Fano manifolds defined by Saito-Takahashi, given in terms of the sum of the Ding invariant and the Chow weight, is equivalent to the exist…
Expected centre of mass of the random Kodaira embedding
Yoshinori Hashimoto
Let be a smooth projective variety. To each which induces the embedding given by the a…
Mapping properties of the Hilbert and Fubini--Study maps in Kähler geometry
Yoshinori Hashimoto
Suppose that we have a compact Kähler manifold with a very ample line bundle . We prove that any positive definite hermitian form on the space $H^0 (X,\mathcal{L})…
Stability and canonical metrics on projective spaces blown up along a line
Yoshinori Hashimoto
Let be a Kähler manifold obtained by blowing up a complex projective space along a line . We prove that $\text{…
Existence of twisted constant scalar curvature Kähler metrics with a large twist
Yoshinori Hashimoto
Suppose that there exist two Kähler metrics and such that the metric contraction of with respect to is constant, i.e. . We prove that for all l…
Quantisation of extremal Kähler metrics
Yoshinori Hashimoto
Suppose that a polarised Kähler manifold admits an extremal metric . We prove that there exists a sequence of Kähler metrics , converging to as $k \to \…
Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor
Yoshinori Hashimoto
We study the scalar curvature of Kähler metrics that have cone singularities along a divisor, with a particular focus on certain specific classes of such metrics that enjoy some cu…