Hostname: page-component-848d4c4894-hfldf Total loading time: 0 Render date: 2024-04-30T20:10:05.290Z Has data issue: false hasContentIssue false
  • English
  • Français

On surfaces of sectional genus five

Published online by Cambridge University Press:  24 October 2008

L. Roth
L. Roth
Affiliation:
Clare College
Get access Rights & Permissions [Opens in a new window]

Extract

In a previous paper the author has examined the various types of non-singular surfaces of sectional genus four; in the present work the same method is applied to non-singular surfaces of sectional genus five. The examination of this case completes the classification of non-singular surfaces in higher space as far as those of the seventh order; for a septimic surface of sectional genus six, necessarily normal in S4, must lie on a quadric, and its characters may be determined from this fact.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 30 , Issue 2 , 30 April 1934 , pp. 123 - 133
Copyright
Copyright © Cambridge Philosophical Society 1934

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Castelnuovo, , Rend. Palermo, 4 (1890), 73.CrossRefGoogle Scholar
2.Castelnuovo, , Atti Acc. Torino, 25 (1890), 695.Google Scholar
3.Castelnuovo, , Math. Annalen, 44 (1894), 125.Google Scholar
4.Val, Du, Rend. Lincei (6) (1932)1, 15, 276.Google Scholar
5.Val, Du, Journal Lond. Math. Soc. 8 (1933), 199.CrossRefGoogle Scholar
6.Enriques, , Lezioni sulla teoria delle superficie algebriche, Padova (1932).Google Scholar
7.Roth, , Proc. Camb. Phil. Soc. 29 (1933), 184.Google Scholar
8.Roth, , Proc. Camb. Phil. Soc. 30 (1934), 4.Google Scholar
9.Roth, , Proc. Camb. Phil. Soc. 26 (1930), 43.Google Scholar
10.Roth, , Proc. Camb. Phil. Soc. 29 (1933), 88.Google Scholar
11.Scorza, , Annali di Mat. (3), 17 (1910), 281.Google Scholar