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Rational double points on a normal octic K3 surface
Published online by Cambridge University Press: 22 January 2016
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Let S be a normal surface of degree n in , where (n, k) = (4,3), (6,4) or (8,5). People try to describe all possible combinations of singularities on such surfaces. The case (4,3) is already very complicated. Using properties of K3 surface and elementary transformations of Dynkin Graphs effectively, Urabe [17] was able to solve the problem partially when all singularities are rational double points.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1993