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math.DG2023
Toric non-archimedean -entropy and thermodynamical structure
Eiji Inoue
We study non-archimedean -entropy for toric variety as a further exploration of K-stability. We show the existence of optimizer of toric non-archimedean -entropy for $λ\…
math.DG2021★ 1 cited
Entropies in -framework of canonical metrics and K-stability, I -- Archimedean aspect: Perelman's W-entropy and -cscK metrics
Eiji Inoue
This is the first in a series of two papers studying mu-cscK metrics and muK-stability, from a new perspective evoked from observations in arXiv:2004.06393 and in this first articl…
math.DG2018★ 4 cited
The moduli space of Fano manifolds with Kähler-Ricci solitons
Eiji Inoue
We construct a canonical Hausdorff complex analytic moduli space of Fano manifolds with Kähler-Ricci solitons. This naturally enlarges the moduli space of Fano manifolds with Kähle…