129 citations · 329 across the 58 of their papers we have counts for
4 papers · 2 filters
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…
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…
Equivalent conjectures on blowing-ups of
Antonio Laface, Luca Ugaglia, Macarena Vilches
We provide a characterization of asymptotical speciality of a nef and big divisor on an algebraic surface in terms of the arithmetic genus of curves in . As a conseq…
On blowing up minimal toric surfaces
Antonio Laface, Luca Ugaglia
We prove that the Cox ring of the blowing-up of a minimal toric surface of Picard rank two is finitely generated. As part of our proof of this result we provide a necessary and suf…