Note on characterizations of projective spaces

Abstract

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

References in corpus (1)

• Quasi-log varieties