• Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces 

      Ciliberto, Ciro; Dedieu, Thomas; Galati, Concettina; Knutsen, Andreas Leopold (Journal article; Peer reviewed, 2023)
      We prove that infinitely many irreducible components of the moduli space of polarized Enriques surfaces are unirational (resp. uniruled), characterizing them in terms of decompo- sitions of the polarization as an effective ...
    • Moduli of curves on Enriques surfaces 

      Knutsen, Andreas Leopold; Ciliberto, Ciro; Dedieu, Thomas; Galati, Concettina (Journal article; Peer reviewed, 2020)
      We compute the number of moduli of all irreducible components of the moduli space of smooth curves on Enriques surfaces. In most cases, the moduli maps to the moduli space of Prym curves are generically injective or dominant. ...
    • Nonemptiness of severi varieties on enriques surfaces 

      Ciliberto, Ciro; Dedieu, Thomas; Galati, Concettina; Knutsen, Andreas Leopold (Journal article; Peer reviewed, 2023)
      Let (S,L) be a general polarised Enriques surface, with L not numerically 2-divisible. We prove the existence of regular components of all Severi varieties of irreducible nodal curves in the linear system |L| , that is, ...
    • A note on Severi varieties of nodal curves on Enriques surfaces 

      Knutsen, Andreas Leopold; Ciliberto, Ciro; Dedieu, Thomas; Galati, Concettina (Journal article; Peer reviewed, 2020)
      Let |L| be a linear system on a smooth complex Enriques surface S whose general member is a smooth and irreducible curve of genus p, with L2 > 0, and let V|L|,δ(S) be the Severi variety of irreducible δ-nodal curves in ...
    • Severi varieties on blow-ups of the symmetric square of an elliptic curve 

      Ciliberto, Ciro; Dedieu, Thomas; Galati, Concettina; Knutsen, Andreas Leopold (Journal article; Peer reviewed, 2023)
      We prove that certain Severi varieties of nodal curves of positive genus on general blow-ups of the twofold symmetric product of a general elliptic curve are nonempty and smooth of the expected dimension. This result, ...