5 papers
On some K3 surfaces with order sixteen automorphism
Paola Comparin, Nathan Priddis, Alessandra Sarti
We consider K3 surfaces of Picard rank 14 which admit a purely nonsymplectic automorphism of order 16. The automorphism acts on the second cohomology group with integer coefficient…
Order 9 automorphisms of K3 surfaces
Michela Artebani, Paola Comparin, María Elisa Valdés
In this paper we provide a complete classification of non-symplectic automorphisms of order nine of complex K3 surfaces.
Mirror symmetry for K3 surfaces
C. J. Bott, Paola Comparin, Nathan Priddis
For certain K3 surfaces, there are two constructions of mirror symmetry that are very different. The first, known as BHK mirror symmetry, comes from the Landau-Ginzburg model for t…
Quasismoooth hypersurfaces in toric varieties
Michela Artebani, Paola Comparin, Robin Guilbot
We provide a combinatorial characterization of monomial linear systems on toric varieties whose general member is quasismooth. This is given both in terms of the Newton polytope an…
The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order
Paola Comparin, Christopher Lyons, Nathan Priddis +1
We consider K3 surfaces that possess certain automorphisms of prime order p>2 and we present, for these surfaces, a correspondence between the mirror symmetry of Berglund-Huebsch-C…