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. 981993. ISSN 00224049

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Official URL: http://www.sciencedirect.com/science/journal/00224049
Abstract
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 > PT*(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.
Item Type:  Article 

Uncontrolled Keywords:  Stable vectorbundles; Rank2; Ribbons; P3 
Subjects:  Sciences > Mathematics > Algebraic geometry 
ID Code:  12963 
Deposited On:  19 Jul 2011 07:01 
Last Modified:  06 Feb 2014 09:37 
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