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The Fixed Part of the Canonical System

Published online by Cambridge University Press:  24 October 2008

J. Bronowski
J. Bronowski
Affiliation:
University CollegeHull
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Extract

On an algebraic surface f of order n in space of three dimensions, the canonical system | k | of curves is traced by all those surfaces π of order n − 4 which fulfil certain conditions of adjunction at the singularities of f: for example, which pass simply through the double curves and through the isolated tacnodes of f; which pass doubly through the isolated fourfold points of f; and so on. The assigned fixed points and curves of the adjoint surfaces ø at these singularities of f are not taken to be part of the canonical system | k |; but | k | may have unassigned fixed parts e. Three cases are usually (3) distinguished.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 39 , Issue 1 , March 1943 , pp. 31 - 34
Copyright
Copyright © Cambridge Philosophical Society 1943

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References

REFERENCES

(1)Bronowski, J.Journal London Math. Soc. 12 (1937), 140–5.CrossRefGoogle Scholar
(2)Campedelli, L.Atti Accad. Torino, 71 (1936), 370–90.Google Scholar
(3)Du Val, P.Proc. Cambridge Phil. Soc. 34 (1938), 1–5.Google Scholar
(4)Enriques, F. and Campedelli, L.Lezioni sulla teoria delle superficie algebriche (Padua, 1932).Google Scholar
(5)Segre, B.Rend. Accad. Bologna (03 1936).Google Scholar