On moduli spaces of polarized Enriques surfaces

• Published in: Journal de mathématiques pures et appliquées Vol. 144; pp. 106 - 136
• Main Author: Knutsen, Andreas Leopold
• Format: Journal Article
• Language: English
• Published: Elsevier Masson SAS 01.12.2020
• Subjects: Degenerations; Enriques surfaces; Hilbert schemes; Moduli spaces; Moduli spaces; 14C20; 14J28; Enriques surfaces; Degenerations; 14D06; 14J10; 14C05; Hilbert schemes

We prove that, for any g≥2, the étale double cover ρg:Eg→Eˆg from the moduli space Eg of complex polarized genus g Enriques surfaces to the moduli space Eˆg of numerically polarized genus g Enriques surfaces is disconnected precisely over irreducible components of Eˆg parametrizing 2-divisible class...