English

Characterization of Abelian Varieties

Algebraic Geometry 2007-05-23 v1

Abstract

We prove that any smooth complex projective variety XX with plurigenera P1(X)=P2(X)=1P_1(X)=P_2(X)=1 and irregularity q(X)=dim(X)q(X)=dim (X) is birational to an abelian variety.

Keywords

Cite

@article{arxiv.math/9903184,
  title  = {Characterization of Abelian Varieties},
  author = {Jungkai A. Chen and Christopher D. Hacon},
  journal= {arXiv preprint arXiv:math/9903184},
  year   = {2007}
}

Comments

10 pages, amstex