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arxiv: 1512.09005 · v2 · pith:XFA6VUKQnew · submitted 2015-12-30 · 🧮 math.AG

Cones of effective divisors on the blown-up P³ in general lines

classification 🧮 math.AG
keywords linesconesdivisorseffectivegeneralblow-upblown-upcompute
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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.

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