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math.AG2021★ 3 cited
Enriques involutions on pencils of K3 surfaces
Dino Festi, Davide Cesare Veniani
The three pencils of K3 surfaces of minimal discriminant whose general element covers at least one Enriques surface are Kondō's pencils I and II, and the Apéry--Fermi pencil. We en…
math.AG2021★ 5 cited
Counting elliptic fibrations on K3 surfaces
Dino Festi, Davide Cesare Veniani
We solve the problem of counting jacobian elliptic fibrations on an arbitrary complex projective K3 surface up to automorphisms. We then illustrate our method with several explicit…