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math.DG2024
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…
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…