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math.AG2023
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…
math.AG2023
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…
math.AG2023
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…