English

The cone conjecture for some rational elliptic threefolds

Algebraic Geometry 2009-11-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0910.5888,
  title  = {The cone conjecture for some rational elliptic threefolds},
  author = {Artie Prendergast-Smith},
  journal= {arXiv preprint arXiv:0910.5888},
  year   = {2009}
}

Comments

17 pages; comments welcome

R2 v1 2026-06-21T14:05:25.715Z