Note on characterizations of projective spaces

Jiun-Cheng Chen; Hsian-Hua Tseng

Note on characterizations of projective spaces

Algebraic Geometry 2008-03-05 v2

Authors: Jiun-Cheng Chen , Hsian-Hua Tseng

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.

Keywords

projective varieties toric varieties projective geometry

Cite

@article{arxiv.math/0509649,
  title  = {Note on characterizations of projective spaces},
  author = {Jiun-Cheng Chen and Hsian-Hua Tseng},
  journal= {arXiv preprint arXiv:math/0509649},
  year   = {2008}
}

Comments

Revised introduction, stronger result in dimension three presented

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