%0 Journal Article %T On the geography of threefolds of general type %A Jungkai A. Chen %A Christopher D. Hacon %J Mathematics %D 2008 %I arXiv %X Let $X$ be a complex nonsingular projective 3-fold of general type. We show that there are positive constants $c$, $c'$ and $m_1$ such that $\chi (\omega _X)\geq -c\Vol (X)$ and $P_m(X)\geq c'm^3\Vol (X)$ for all $m\geq m_1$. %U http://arxiv.org/abs/0802.0884v1