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Rational double points on a normal octic K3 surface

Published online by Cambridge University Press:  22 January 2016

Li-Zhong Tang
Li-Zhong Tang*
Affiliation:
Department of Mathematics, Graduate School of Academia Sinica, Beijing 100039, P. R. China
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 129 , March 1993 , pp. 147 - 177
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

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