6 papers
Mori dream Jacobian elliptic surfaces of Kodaira dimension one
Antonio Laface, Sichen Li, Jihao Liu
Let be a Jacobian elliptic surface over , and set , so that . Assume that the Mordell--Weil group of is fini…
On K-stability of Fano's last Fanos
Ivan Cheltsov, DongSeon Hwang, Alex Küronya +5
We study K-stability of smooth Fano threefolds of Picard rank and degree which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^…
Remarks on hypersurfaces in
Francesco Antonio Denisi, Antonio Laface
We study the birational geometry of hypersurfaces in projective varieties of the form , where satisfies mild assumptions. Building on recent results of He…
On Cox Rings of Calabi-Yau hypersurfaces
Michela Artebani, Antonio Laface, Luca Ugaglia
We study the Cox rings of smooth anticanonical Calabi-Yau hypersurfaces in smooth toric Fano varieties. Using the combinatorics of primitive pairs of the ambient Fano polytope and…
The Cox ring of an embedded variety
Cristóbal Herrera, Antonio Laface, Luca Ugaglia
We compute the Cox ring of an embedded variety within a Mori dream space, under the assumption that the pullback map induces an isomorphism at the level of divisor…
Mori dream singular surfaces
Antonio Laface, Alex Massarenti, William D. Montoya
We take a first step towards the classification of singular Mori dream surfaces. We prove that if the Picard lattice of a singular surface is Mori dream, then the surface…