Note on characterizations of projective spaces
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We prove a numerical characterization of $\mathbb{P}^n$ for varieties with at worst isolated local complete intersection quotient singularities. In dimension three, we prove such a numerical characterization of $\mathbb{P}^3$ for normal $\mathbb{Q}$-Gorenstein projective varieties.
Revised introduction, stronger result in dimension three presented
Revised introduction, stronger result in dimension three presented