30 citations · 77 across the 13 of their papers we have counts for
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math.DG2016★ 30 cited
Stability and coercivity for toric polarizations
Tomoyuki Hisamoto
We introduce uniform K-stability and its relationship with the coercivity property of the K-energy functional, for general polarized manifolds. Since the automorphism groups are no…
math.DG2016★ 8 cited
Orthogonal projection of a test configuration to vector fields
Tomoyuki Hisamoto
Given a polarized complex manifold, projection of a torus-equivariant test configuration to holomorphic vector fields was introduced by G. Székelyhidi, as the limit of the associat…
math.DG2016
Uniform K-stability and asymptotics of energy functionals in Kähler geometry
Sébastien Boucksom, Tomoyuki Hisamoto, Mattias Jonsson
Consider a polarized complex manifold (X,L) and a ray of positive metrics on L defined by a positive metric on a test configuration for (X,L). For most of the common functionals in…