3 papers
math.AG2012
Fano manifolds of index n-1 and the cone conjecture
Izzet Coskun, Artie Prendergast-Smith
The Morrison-Kawamata cone conjecture predicts that the actions of the automorphism group on the effective nef cone and the pseudo-automorphism group on the effective movable cone…
math.AG2009
The cone conjecture for some rational elliptic threefolds
Artie Prendergast-Smith
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…
math.AG2008
Extremal rational elliptic threefolds
A. Prendergast-Smith
We classify nets of quadrics in P^3 which give rise to elliptic fibrations of Mordell-Weil rank zero.