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arXiv · 1501.05745

On birational geometry of minimal threefolds with numerically trivial canonical divisors

Chen Jiang
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Abstract

For a minimal $3$-fold $X$ with $K_X\equiv 0$ and a nef and big Weil divisor $L$ on $X$, we investigate the birational geometry inspired by $L$. We prove that $|mL|$ and $|K_X+mL|$ give birational maps for all $m\geq 17$. The result remains true under weaker assumption that $L$ is big and has no stable base components.

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Chen Jiang. 2015-07-27. On birational geometry of minimal threefolds with numerically trivial canonical divisors. https://doi.org/10.1007/s00208-015-1268-y

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