Cones of effective divisors on the blown-up $${\mathbb {P}}^3$$ P 3 in general lines

Cones of effective divisors on the blown-up $${\mathbb {P}}^3$$ P 3 in general lines We compute the facets of the effective cones of divisors on the blow-up of $${\mathbb {P}}^3$$ 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. Rendiconti del Circolo Matematico di Palermo Springer Journals

Cones of effective divisors on the blown-up $${\mathbb {P}}^3$$ P 3 in general lines

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Springer Milan
Copyright © 2016 by Springer-Verlag Italia
Mathematics; Mathematics, general; Algebra; Geometry; Analysis; Applications of Mathematics
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