4 citations · 7 across the 4 of their papers we have counts for
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A uniform version of the Yau-Tian-Donaldson correspondence for extremal Kähler metrics on polarized toric manifolds
Yasufumi Nitta, Shunsuke Saito
The aim of this paper is to solve a uniform version of the Yau-Tian-Donaldson conjecture for polarized toric manifolds. Also, we show a combinatorial sufficient condition for unifo…
Remarks on topology of stable translating solitons
Keita Kunikawa, Shunsuke Saito
We show that any complete -stable translating soliton admits no codimension one cycle which does not disconnect . As a corollary, it follows that any two dimensional comp…
Stability of anti-canonically balanced metrics
Shunsuke Saito, Ryosuke Takahashi
We study the asymptotic behavior of quantized Ding functionals along Bergman geodesic rays and prove that the slope at infinity can be expressed in terms of Donaldson-Futaki invari…
Fano-Ricci limit spaces and spectral convergence
Akito Futaki, Shouhei Honda, Shunsuke Saito
We study the behavior under Gromov-Hausdorff convergence of the spectrum of weighted $\barpartial$-Laplacian on compact Kähler manifolds. This situation typically occurs for a sequ…