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[HM] Kummer surface and Eddington's Enumbers
Posted:
Aug 15, 2005 12:24 PM


Eddington notes both in a popular work and in Relativity Theory of Protons and Electrons p. 36n that Zariski proved that his Enumber 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 Kummerlike 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 Mtheory. Does anyone know of any mathematicians or physicists who have applied Eddington's Enumber machinery to the K3 surface? Val Dusek



