Abstract
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.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. On the existence of some surfaces;Lecture Notes in Mathematics;1990
2. On surfaces of sectional genus six;Mathematical Proceedings of the Cambridge Philosophical Society;1936-10
3. Some Types of Irregular Surfaces;Mathematical Proceedings of the Cambridge Philosophical Society;1935-04