Kawamata--Miyaoka type inequality for weak Fano varieties

Haidong Liu

Source record

Source: arXiv

Published: Aug 27, 2026

arXiv: 2608.26597

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Source abstract

Let $X$ be a $\mathbb Q$ -factorial $ε$ -lc weak Fano variety of dimension $n\geq 2$ , where $0<ε\leq 1$ is a real number. Then there exists a Kawamata--Miyaoka type inequality $c_1(X)^n\leq \frac{2(1+ε)}ε\,\hat c_2(X)\cdot c_1(X)^{n-2}.$

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