33 citations · 67 across the 14 of their papers we have counts for
17 papers
Harmonic band theory: rigidity of non-zero degree harmonic maps from 2-torus to complex projective space
Yoshinori Hashimoto, Bruno Mera, Tomoki Ozawa
We prove the rigidity of isotropic harmonic maps from a 2-torus to a complex projective space, when they are constructed from holomorphic embeddings associated to complete linear s…
Quantitative injectivity of the Fubini--Study map
Yoshinori Hashimoto
We prove a quantitative version of the injectivity of the Fubini--Study map that is polynomial in the exponent of the ample line bundle, and correct the arguments in the author's p…
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…
Ueda's lemma via uniform Hörmander estimates for flat line bundles
Yoshinori Hashimoto, Takayuki Koike
We establish Hörmander-type -estimates for the -operators that hold uniformly for all nontrivial flat holomorphic line bundles on compact Kähler manifolds…
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…
Quot-scheme limit of Fubini-Study metrics and its applications to balanced metrics
Yoshinori Hashimoto, Julien Keller
We present some results that complement our prequels [arXiv:1809.08425,arXiv:1907.05770] on holomorphic vector bundles. We apply the method of the Quot-scheme limit of Fubini-Study…
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…
A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics
Yoshinori Hashimoto, Julien Keller
This is a sequel of our paper [arXiv:1809.08425] on the Quot-scheme limit and variational properties of Donaldson's functional, which established its coercivity for slope stable ho…
Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles
Yoshinori Hashimoto, Julien Keller
For a holomorphic vector bundle over a polarised Kähler manifold, we establish a direct link between the slope stability of and the asymptotic behaviour of Donaldson's func…
Relative stability associated to quantised extremal Kähler metrics
Yoshinori Hashimoto
We study algebro-geometric consequences of the quantised extremal Kähler metrics, introduced in the previous work of the author. We prove that the existence of quantised extremal m…
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})…
About J-flow, J-balanced metrics, uniform J-stability and K-stability
Yoshinori Hashimoto, Julien Keller
From the work of Dervan-Keller, there exists a quantization of the critical equation for the J-flow. This leads to the notion of J-balanced metrics. We prove that the existence of…
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…