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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)…
math.AG2026
Semipositivity of the orbifold second Chern class in Fujiki's class
Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang
We study inequalities for orbifold second Chern classes of compact normal analytic varieties in Fujiki's class. We prove Miyaoka's inequality for singular varieties in Fujiki's cla…