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Kawamata--Miyaoka type inequality for weak Fano varieties
Haidong Liu
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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