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September 2011 Even sets of ($-4$)-curves on rational surface
María Martí Sánchez
Osaka J. Math. 48(3): 675-690 (September 2011).

Abstract

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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María Martí Sánchez. "Even sets of ($-4$)-curves on rational surface." Osaka J. Math. 48 (3) 675 - 690, September 2011.

Information

Published: September 2011
First available in Project Euclid: 26 September 2011

zbMATH: 1229.14030
MathSciNet: MR2837675

Subjects:
Primary: 14J17 , 14J26

Rights: Copyright © 2011 Osaka University and Osaka City University, Departments of Mathematics

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Vol.48 • No. 3 • September 2011
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