Even sets of (-4)-curves on rational surface
Sanchez, Maria Marti
Original · EN
We study rational surfaces having an even set of disjoint (-4)-curves. The properties of the surface S obtained by considering the double cover branched on the even set are studied. It is shown, that contrarily to what happens for even sets of (-2)-curves, the number of curves in an even set of (-4)-curves is bounded (less or equal to 12). The surface S has always Kodaira dimension bigger or equal to zero and the cases of Kodaira dimension zero and one are completely characterized. Several examples of this situation are given.
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