In this paper, we solve the abundance conjecture for minimal projective klt varieties X satisfying Miyaoka's equality 3c₂(X) = c₁(X)². Specifically, we prove that the canonical divisor KX is semi-ample and the Kodaira dimension κ(KX) is either $0$, $1$, or $2$. Moreover, according to the Kodaira dimension, we reveal the structure of the Iitaka fibration of X up to quasi-\'etale covers. Additionally, we show similar results for projective klt varieties with nef anti-canonical divisor.
No takes yet. Share an insight, caveat, or question.
Iwai et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: