Gallego Rodrigo, Francisco Javier and Purnaprajna, Bangere P. and González Andrés, Miguel (2008) K3 double structures on Enriques surfaces and their smoothings. Journal of Pure and Applied Algebra , 212 (5). pp. 981-993. ISSN 0022-4049
Official URL: http://www.sciencedirect.com/science/journal/00224049
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.
|Uncontrolled Keywords:||Stable vector-bundles; Rank-2; Ribbons; P3|
|Subjects:||Sciences > Mathematics > Algebraic geometry|
|Deposited On:||19 Jul 2011 09:01|
|Last Modified:||19 Jul 2011 09:01|
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