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Rational Surfaces with Exceptional Unodes

Published online by Cambridge University Press:  20 November 2018

Patrick du Val
Patrick du Val*
Affiliation:
University College, London, England
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Many years ago, I defined (8) three types of exceptional unode on an algebraic surface, which I called U*8, U*9, U*10, corresponding, on a non-singular model of the surface, to sets of six, seven, and eight rational curves, each of grade — 2, with the intersection patterns represented by the Coxeter-Dynkin graphs now usually known as E6, E7, E8:

where each dot represents a curve, and linked dots intersecting curves. In each case we shall denote the curves in the horizontal sequence by S1, s2, … from left to right, and the extra curve meeting s3 by s*.

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 938 - 951
Copyright
Copyright © Canadian Mathematical Society 1967

References

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