4 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…
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…
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}…
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…