Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces
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Sammendrag
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 sum of isotropic classes. In particular, this applies to components of arbitrarily large genus g and φ-invariant of the polarization.