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arXiv · 0802.0884

On the geography of threefolds of general type

Jungkai A. Chen·Christopher D. Hacon
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Abstract

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 $χ(ω_X)\geq -c\Vol (X)$ and $P_m(X)\geq c'm^3\Vol (X)$ for all $m\geq m_1$.

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Jungkai A. Chen, Christopher D. Hacon. 2008-02-06. On the geography of threefolds of general type. https://arxiv.org/abs/0802.0884

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