33 citations · 67 across the 14 of their papers we have counts for
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math.AG2017★ 5 cited
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…
math.DG2017★ 4 cited
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})…
math.AG2017★ 1 cited
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…