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, In Press.
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 paper is in closed access until December 2017.