Kawamata-Miyaoka-type inequality for \mathbb Q-Fano varieties with canonical singularities II: Terminal \mathbb Q-Fano threefolds

2024/01/09 by Haidong Liu, Jie Liu
Mathematics · #math.AG

paper · pdf · doi:10.46298/epiga.2025.13167

Abstract

We prove an optimal Kawamata-Miyaoka-type inequality for terminal \mathbb Q-Fano threefolds with Fano index at least 3. As an application, any terminal \mathbb Q-Fano threefold X satisfies the following Kawamata-Miyaoka-type inequality c₁(X)³ < 3c₂(X)c₁(X).

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