4 papers
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…
Cones of Cycles on blowups of
Gilberto Bini, Luca Ugaglia
We study cones of pseudoeffective cycles on the blow up of at points in very general position, proving some results concerning their structure. In particular we…
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…