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

Ciro Ciliberto (1) , Thomas Dedieu (2) , Concettina Galati (3) , Andreas Leopold Knutsen (4)

1 Università degli Studi di Roma Tor Vergata [Roma] = University of Rome Tor Vergata
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 Unical - Università della Calabria [Arcavacata di Rende]
4 UiB - University of Bergen

We prove that, under suitable conditions, some moduli spaces of polarised Enriques surfaces are irreducible, unirational (resp. uniruled).

Domaines: Géométrie algébrique [math.AG]

Ciro Ciliberto, Thomas Dedieu, Concettina Galati, Andreas Leopold Knutsen. Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces. 2019. ⟨hal-01979006⟩