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On some rationality properties of Hopf maps
Published online by Cambridge University Press: 22 January 2016
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As is well known, the Hopf fibration S3 → S2 is the restriction of the map h: R4 → R3 given by , a system of three quadratic forms [2]. Since spheres and the map are defined by polynomials with coefficients in Q, the original setting can be considered as a localization at infinity of the underlying algebraic sets and morphism defined over Q. This makes one think of the arithmetic of the Hopf maps.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1974
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