3 papers
math.AG2026
The Miyaoka-Yau inequality and the delta invariant for Fano varieties
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…
math.DG2025
Continuity method for the Mabuchi soliton on the extremal Fano manifolds
Tomoyuki Hisamoto, Satoshi Nakamura
We run the continuity method for Mabuchi's generalization of Kähler-Einstein metrics, assuming the existence of an extremal Kähler metric. It gives an analytic proof (without min…
math.DG2024
On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle
Tomoyuki Hisamoto
Based on the recent work of K.~Zhang, we discuss the Miyaoka-Yau type inequality for projective manifolds with nef anti-canonical line bundle, assuming the lower bound of the delta…