14 citations · 17 across the 9 of their papers we have counts for
11 papers
Bilinear secants and birational geometry of blowups of
Elisa Postinghel, Artie Prendergast-Smith
We introduce bilinear secant varieties and joins of subvarieties of products of projective spaces, as a generalisation of the classical secant varieties and joins of projective var…
Remark on a theorem of Oguiso
Inder Kaur, Artie Prendergast-Smith
For a Calabi-Yau variety X, Oguiso gave a useful criterion for primitivity of a self-map of X in terms of the associated linear map on the Neron--Severi space of X. In this short n…
Log Fano blowups of mixed products of projective spaces and their effective cones
Tim Grange, Elisa Postinghel, Artie Prendergast-Smith
We compute the cones of effective divisors on blowups of and in up to 6 points. We also show that all these va…
Effective cycles on some linear blowups of projective spaces
Norbert Pintye, Artie Prendergast-Smith
We compute cones of effective cycles on some blowups of projective spaces in general sets of lines.
Fano manifolds of index n-2 and the cone conjecture
Izzet Coskun, Artie Prendergast-Smith
The Morrison--Kawamata Cone Conjecture predicts that the action of the automorphism group on the effective nef cone and the action of the pseudo-automorphism group on the effective…
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…