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On a conjecture o f W. Veys

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Publication Date
2000
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Springer
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Abstract
In this work we show a singular K3 surface S of such that producing a counter-example to a conjecture of Veys.
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W. Barth, C. Peters and A. Van de Ven, Compact complex surfaces, Erg. der Math. und ihrer Grenz., A Series of Modem Surveys in Math., 3, 4, Springer-Verlag, Berlin, 1984 [GP] R. Gurjar and A. Pararneswaran, Open surfaces with non-positive Euler characteristic, Compositio Math. 99 (1995), 213-229 [H] R. Hartshome, Algebraic Geometry, Graduate Texts in Math. 52, Springer-Verlag, New York, 1977 [lS] A.J. de Jong and l. Steenbrink, Proof of a conjecture of W. Veys, Indag. Math. 6 (1) (1995),99-104 [V] W. Veys, Structure of rational open surfaces withnon-positive Euler characteristic, Math. Arm. 312 (1998), 527-548
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