7 citations · 7 across the 3 of their papers we have counts for
6 papers · 1 filter
Continuity method for the Mabuchi soliton on the extremal Fano manifolds
Tomoyuki Hisamoto, Satoshi Nakamura
We run the continuity method for Mabuchi's generalization of Kähler-Einstein metrics, assuming the existence of an extremal Kähler metric. It gives an analytic proof (without minim…
On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle
Tomoyuki Hisamoto
Based on the recent work of K.~Zhang, we discuss the Miyaoka-Yau type inequality for projective manifolds with nef anti-canonical line bundle, assuming the lower bound of the delta…
Quantization of the Kähler-Ricci flow and optimal destabilizer for a Fano manifold
Tomoyuki Hisamoto
For a Fano manifold, We consider the geometric quantization of the Kähler-Ricci flow and the associated entropy functional. Convergence to the original flow and entropy is establis…
Mabuchi's soliton metric and relative D-stability
Tomoyuki Hisamoto
For Fano manifolds T. Mabuchi introduced a generalization of the Kähler-Einstein metric, which is characterized as the critical point of the Ricci-Calabi functional. We show that a…
Geometric flow, Multiplier ideal sheaves and Optimal destabilizer for a Fano manifold
Tomoyuki Hisamoto
S. K. Donaldson asked whether the lower bound of the Calabi functional is achieved by a sequence the normalized Donaldson-Futaki invariants. We answer the question for the Ricci cu…
On the limit of spectral measures associated to a test configuration
Tomoyuki Hisamoto
We apply the integral formula of volumes to the family of graded linear series constructed from any test configuration. This solves the conjecture raised by Witt--Nyström so that t…