Abstract
IT is obvious that a surface, like a curve, must have a maximum number of double points; and it is also obvious that all of them may be conic nodes, but only a limited number of them can be binodes; but so far as I have been able to discover, no formula has been obtained for determining the maximum number. In Hudson's book on “Kummer's Surface,” a proof is given that a quartic surface can have as many as sixteen conic nodes, but no general theorem is alluded to. I shall therefore state a formula by means of which the maximum number can be calculated.
Similar content being viewed by others
Article PDF
Rights and permissions
About this article
Cite this article
BASSET, A. The Maximum Number of Double Points on a Surface. Nature 73, 246 (1906). https://doi.org/10.1038/073246b0
Issue Date:
DOI: https://doi.org/10.1038/073246b0
This article is cited by
-
A degree nine surface with 39 triple points
ANNALI DELL UNIVERSITA DI FERRARA (2004)
-
On set theoretic complete intersections in ?3
Mathematische Annalen (1989)
-
Asymptotic integrals and Hodge structures
Journal of Soviet Mathematics (1984)
-
The maximal number of quotient singularities on surfaces with given numerical invariants
Mathematische Annalen (1984)
-
Sul contatto di superficie algebriche lungo curve
Annali di Matematica Pura ed Applicata (1955)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.