15 papers
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…
The Fano variety of lines on singular cyclic cubic fourfolds
Samuel Boissière, Paola Comparin, Lucas Li Bassi
We study the symplectic resolution of the Fano variety of lines on some singular cyclic cubic fourfolds, i.e. cubic fourfolds arising as cyclic 3:1 cover of branched…
On strictly elliptic K3 surfaces and del Pezzo surfaces
Paola Comparin, Pedro Montero, Yulieth Prieto-Montañez +1
This article primarily aims at classifying, on certain K3 surfaces, the elliptic fibrations induced by conic bundles on smooth del Pezzo surfaces. The key geometric tool employed i…
Irreducible Holomorphic Symplectic manifolds with an action of
Paola Comparin, Romain Demelle, Pablo Quezada Mora
Höhn and Mason classified the possible symplectic groups acting on an Irreducible Holomorphic Symplectic (IHS) manifold of K3-type, finding that $\mathbb Z_3^4 : \mathcal A…
Non-symplectic automorphisms of order multiple of seven on K3 surfaces
Renee Bell, Paola Comparin, Jennifer Li +3
In this paper we present a classification of non-symplectic automorphisms of K3 surfaces whose order is a multiple of seven by describing the topological type of their fixed locus.…
K3 surfaces with action of the group
Paola Comparin, Romain Demelle
It was shown by Mukai that the maximum order of a finite group acting faithfully and symplectically on a K3 surface is 960 and if such a group has order 960, then it is isomorphic…
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…
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…
BHK mirror symmetry for K3 surfaces with non-symplectic automorphism
Paola Comparin, Nathan Priddis
In this paper we consider the class of K3 surfaces defined as hypersurfaces in weighted projective space, and admitting a non-symplectic automorphism of non-prime order, excluding…
Families of Calabi-Yau hypersurfaces in -Fano toric varieties
Michela Artebani, Paola Comparin, Robin Guilbot
We provide a sufficient condition for a general hypersurface in a -Fano toric variety to be a Calabi-Yau variety in terms of its Newton polytope. Moreover, we define a g…
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…
Van Geemen--Sarti involutions and elliptic fibrations on K3 surfaces double cover of
Paola Comparin, Alice Garbagnati
In this paper we classify the elliptic fibrations on K3 surfaces which are the double cover of a blow up of branched along rational curves and we give equations for…