%0 Journal Article
%A Gallego Rodrigo, Francisco Javier
%A Purnaprajna, Bangere P.
%A González Andrés, Miguel
%T K3 double structures on Enriques surfaces and their smoothings
%D 2008
%@ 0022-4049
%U https://hdl.handle.net/20.500.14352/49712
%X 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.
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