Special Systems through Double Points on an Algebraic Surface
نویسنده
چکیده
Let S be a smooth algebraic surface satisfying the following property: H(OS(C)) = 0 (i = 1, 2) for any irreducible and reduced curve C ⊂ S. The aim of this paper is to provide a characterization of special linear systems on S which are singular along a set of double points in general position. As an application, the dimension of such systems is evaluated in case S is an Abelian, an Enriques, a K3 or an anticanonical rational surface.
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