We give an explicit description of the irreducible components of the moduli spaces of polarized Enriques surfaces in terms of decompositions of the polarization as an effective sum of isotropic classes. We prove that infinitely many of these components are unirational (resp. uniruled). In particular, this applies to components of arbitrarily large genus $g$ and $phi$-invariant of the polarization.

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

Ciro Ciliberto;Thomas Dedieu;Concettina Galati
;
Andreas Leopold Knutsen
2023-01-01

Abstract

We give an explicit description of the irreducible components of the moduli spaces of polarized Enriques surfaces in terms of decompositions of the polarization as an effective sum of isotropic classes. We prove that infinitely many of these components are unirational (resp. uniruled). In particular, this applies to components of arbitrarily large genus $g$ and $phi$-invariant of the polarization.
2023
Mathematics - Algebraic Geometry
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/307316
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