%0 Journal Article
%T Characterizing Projective Spaces for Varieties with at Most Quotient Singularities
%A Jiun-Cheng Chen
%J Mathematics
%D 2006
%I arXiv
%X We generalize the well-known numerical criterion for projective spaces by Cho, Miyaoka and Shepherd-Barron to varieties with at worst quotient singularities. Let $X$ be a normal projective variety of dimension $n \geq 3$ with at most quotient singularities. Our result asserts that if $C \cdot (-K_X) \geq n+1$ for every curve $C \subset X$, then $X \cong \PP^n$.
%U http://arxiv.org/abs/math/0604522v1