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math.CV2026
Metric entropy of Kähler potentials
Tomoyuki Hisamoto
We prove sharp metric entropy estimates for spaces of Kähler potentials. In complex dimension , normalized potentials have Kolmogorov entropy of order $\e^{-n}$ in the backgroun…
math.AG2026
The Miyaoka-Yau inequality and the delta invariant for Fano varieties I -klt Fano case-
Tomoyuki Hisamoto, Masataka Iwai
We establish the following Miyaoka-Yau inequality for any -dimensional klt Fano variety , possibly K-unstable, in terms of its delta invariant: \[\left(2(n+1)\widehat{c}_2(X)…