The cone conjecture for some rational elliptic threefolds

Abstract

We verify the Morrison--Kawamata conjecture for a certain class of rational threefolds, namely blowups of P3 in the base locus of a net of quadrics with no reducible members. This seems to be the first verified case of the conjecture for klt Calabi--Yau pairs in dimension 3 with non-zero boundary divisor.

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