The cone conjecture for some rational elliptic threefolds

Details The cone conjecture for some rational elliptic threefolds The cone conjecture for some rational elliptic threefolds

2009-10-30

arxiv.org/abs/0910.5888v1

Mathematics

Algebraic Geometry

17 pages; comments welcome

Scientific paper

We verify the Morrison--Kawamata conjecture for a certain class of rational
threefolds, namely blowups of P^3 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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