English

The canonical volume of threefolds of general type with $\chi<1$

Algebraic Geometry 2008-06-27 v3

Abstract

We prove that the canonical volume K31/30K^3\geq {1/30} for all projective 3-folds of general type with χ(O)0\chi(\mathcal{O})\leq 0. This bound is sharp.

Keywords

Cite

@article{arxiv.0704.1702,
  title  = {The canonical volume of threefolds of general type with $\chi<1$},
  author = {Jungkai A. Chen and Meng Chen},
  journal= {arXiv preprint arXiv:0704.1702},
  year   = {2008}
}

Comments

16 pages, Updated version, To appear in Journal of LMS