7 citations · 7 across the 1 of their papers we have counts for
3 papers
math.DG2019
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…
math.DG2019
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…
math.DG2012★ 7 cited
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…