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Topic: [HM] Kummer surface and Eddington's E-numbers
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Valdusek@aol.com

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
M-theory.

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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