59 citations · 108 across the 26 of their papers we have counts for
30 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…
Calabi-Yau complete intersections associated to good pairs of generalized nef partitions
Michela Artebani, Paola Comparin, Robin Guilbot
We introduce the notion of good pair of generalized nef partitions to describe Calabi-Yau complete intersections in Q-Fano toric varieties whose equations do not necessarily have m…
Cox rings of nef anticanonical rational surfaces
Michela Artebani, Sofía Pérez Garbayo
This paper deals with the problem of computing a generating set for the Cox ring of a smooth projective rational surface with nef anticanonical class. In case is…
Mori dream K3 surfaces of Picard number four: projective models and Cox rings
Michela Artebani, Claudia Correa Deisler, Xavier Roulleau
In this paper we study the geometry of the families of K3 surfaces of Picard number four with finite automorphism group, whose Néron-Severi lattices have been classified by È.…
Non-symplectic automorphisms of K3 surfaces with one-dimensional moduli space
Michela Artebani, Paola Comparin, María Elisa Valdés
The moduli space of K3 surfaces with a purely non-symplectic automorphism of order is one dimensional exactly when or . In this paper we classify and…
Cox rings of K3 surfaces of Picard number three
Michela Artebani, Claudia Correa, Antonio Laface
Let be a projective K3 surface over . We prove that its Cox ring has a generating set whose degrees are either classes of smooth rational curves, sums of at m…