DUMITRESCU, O., POSTINGHEL, E. and URBINATI, S., 2017. Cones of effective divisors on the blown-up P3 in general lines. Rendiconti del Circolo Matematico di Palermo Series 2, 66 (2), pp. 205–216.
We compute the facets of the effective cones of divisors on the blow-up of P3 in up to five lines in general position. We prove that up to six lines these threefolds are weak Fano and hence Mori Dream Spaces.
This is a post-peer-review, pre-copyedit version of an article published in Rendiconti del Circolo Matematico di Palermo Series 2. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12215-016-0280-8