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.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…
math.AG2025
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors
Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang
We establish the Miyaoka-Yau inequality for -dimensional projective klt varieties with big canonical divisor : \[ (2(n+1)\widehat{c}_2(X) - n \widehat{c}_1(X)^2) \cdot \lan…