Kummer Surface Research Articles

An Application of Severi's Theory of a Basis to the Kummer and Weddle Surfaces

An Application of Severi's Theory of a Basis to the Kummer and Weddle Surfaces

An application of Severi’s theory of a basis to the Kummer and Weddle surfaces

An application of Severi’s theory of a basis to the Kummer and Weddle surfaces

Note on Some Transformations of a General Kummer Surface

Proceedings of the London Mathematical SocietyVolume s2-11, Issue 1 p. 302-312 Papers Note on Some Transformations of a General Kummer Surface H. F. Baker, H. F. BakerSearch for more papers by this author H. F. Baker, H. F. BakerSearch for more papers by this author First published: 1913 https://doi.org/10.1112/plms/s2-11.1.302AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Volumes2-11, Issue11913Pages 302-312 RelatedInformation

Societies and Academies

LONDON.Mathematical Society, April n.—Dr. H. F. Baker, president, and temporarily Prof. A. E. H. Love, vice-president, in the chair.—A. Cunningham: Mersenne's numbers.—G. N. Watson: A modification of Liouville's theorem.—G. H. Hardy and J. E. Littlewood: Contributions to the arithmetic theory of series.—G. B. Mathews: Complex binary arithmetic forms.—H. S. Carslaw: An application of the theory of integral equations to the equation ∇2+k2u = o.—H. F. Baker: (i) Some transformations of Kummer's surface; (ii) the curves which lie on a cubic surface.

An Application of a (1, 2) Quaternary Correspondence to the Weddle and Kummer Surfaces

An Application of a (1, 2) Quaternary Correspondence to the Weddle and Kummer Surfaces

An application of a (1,2) quaternary correspondence to the Weddle and Kummer surfaces

An application of a (1,2) quaternary correspondence to the Weddle and Kummer surfaces

The Maximum Number of Double Points on a Surface

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.

On some birational transformations of the Kummer surface into itself

On some birational transformations of the Kummer surface into itself

Picard–Fuchs equations of families of QM abelian surfaces

We describe an algorithm for computing the Picard-Fuchs equation for a family of twists of a fixed elliptic surface. We then apply this algorithm to obtain the equation for several examples, which are coming from families of Kummer surfaces over Shimura curves, as studied in our previous work. We use this to find correspondenced between the parameter spaces of our families and Shimura curves. These correspondences can sometimes be proved rigorously.

The asymptotic lines of the Kummer surface

The asymptotic lines of the Kummer surface

Scientific Serials

American Journal of Mathematics, vol. xvi. 3. (Baltimore: July 1894.)—A class of uniform transcendental functions, by Dr. T. Craig (pp. 207–220), gives another mode of forming a certain transcendental function first introduced by M. Picard (Comptes Rendus, 1878), and which does not seem to have been subsequently discussed. M. G. Humbert (pp. 221–253), writing “Sur les surfaces de Kummerelliptiques,” after mentioning that Cayley's tetrahedroid is a particular case of a Kummer surface with six double points, applies himself to the problem of determining whether any other of these surfaces possess similar properties.—Mr. Basset contributes a memoir on the deformation of thin elastic plates and shells (pp. 254–290). The origin of the investigation appears to be the dissatisfaction Mr. Basset has felt with Mr. Love's treatment of the theories of thin plates, shell, and wires in the second volume of his book on “Elasticity.”