The canonical volume of threefolds of general type with $Ï<1$
arXiv:0704.1702
Abstract
We prove that the canonical volume $K^3\geq {1/30}$ for all projective 3-folds of general type with $Ï(\mathcal{O})\leq 0$. This bound is sharp.
16 pages, Updated version, To appear in Journal of LMS