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The postulation of a multiple surface

Published online by Cambridge University Press:  24 October 2008

L. Roth
L. Roth
Affiliation:
Clare College
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Extract

1. In the present note we obtain the postulation of a multiple surface of S4 for primals of sufficiently high order; the method is that previously used by Campedelli to determine the postulation of a multiple curve of S3.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 33 , Issue 3 , July 1937 , pp. 301 - 305
Copyright
Copyright © Cambridge Philosophical Society 1937

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References

* Campedelli, , Rend. Palermo, 55 (1931), 198.CrossRefGoogle Scholar

† Segre, B., Rend. Lincei (6), 22 (1934), 488.Google Scholar The lemma states that, if |C| is a regular system of curves of dimension greater than zero, and D an irreducible curve, not common to all the curves C, and variable in a continuous system, then, if the sum of the series cut out on D by | C | and the characteristic series on D is non-special, the system |C + D| is regular.

* Severi, , Memorie Acc. Torino (2), 52 (1903), 61.Google Scholar

† Severi, op. cit.

* Noether, , Annali di Mat. (2), 5 (1871), 163.CrossRefGoogle Scholar

* Severi, op. cit.