Cones of effective divisors on the blown-up P^3 in general lines
arXiv:1512.09005
Abstract
We compute the facets of the effective cones of divisors on the blow-up of P^3 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.
Second version, accepted for publication to the special issue "Recent advances in Linear series and Newton-Okounkov bodies" of the "Rendiconti di Palermo" as proceedings of the workshop in Padua, February 2015