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Topic: [HM] Kummer surface and Eddington's E-numbers
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Posts: 34
Registered: 12/3/04
[HM] Kummer surface and Eddington's E-numbers
Posted: Aug 15, 2005 12:24 PM
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Eddington notes both in a popular work and in Relativity Theory of Protons
and Electrons p. 36n that Zariski proved that his E-number calculus can be
interpreted in terms of the Kummer quartic surface, Am. J. Math. v. 56, 1936.
Eddington probably learned about the surface from the book by R W H T Hudson
(Cambridge 1905). Newman also published a paper on this equivalence of
Eddington's calculus and Kummer-like surfaces in the J. of the London Math.
Soc. 1932. Apparently two others noted this equivalence, but seem not to
have published.

The Kummer surface is a subcase of Andre Weil's K3 (Kummer, Kaehler,
Kodaira) surface. K3 is commonly used as an example in string theory and

Does anyone know of any mathematicians or physicists who have applied
Eddington's E-number machinery to the K3 surface?

Val Dusek

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