RT Journal Article T1 K3 double structures on Enriques surfaces and their smoothings A1 Gallego Rodrigo, Francisco Javier A1 Purnaprajna, Bangere P. A1 González Andrés, Miguel AB Let Y be a smooth Enriques surface. A K3 carpet on Y is a double structure on Y with the same invariants as a smooth K3 surface (i.e., regular and with trivial canonical sheaf). The surface Y possesses an etale K3 double cover X ->(pi) over barY. We prove that pi can be deformed to a family X -> P-T*(N) of projective embeddings of K3 surfaces and that any projective K3 carpet on Y arises from such a family as the flat limit of smooth, embedded K3 surfaces. PB Elsevier Science B.V. (North-Holland) SN 0022-4049 YR 2008 FD 2008-05 LK https://hdl.handle.net/20.500.14352/49712 UL https://hdl.handle.net/20.500.14352/49712 LA eng NO MEC NO Complutense NO General Research Fund of Kansas DS Docta Complutense RD 10 abr 2025