A New Look at the Kummer Surface
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 952-967

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Kummer's surface has the base surface F of a certain net of quadrics in [5] for a non-singular model. All the quadrics of have a common self-polar simplex ∑, and can, in a double-infinity of ways, be based on a quadric Ω1 and two quadrics that Ω1 reciprocates into each other. F is invariant under harmonic inversions in the vertices and opposite bounding primes of ∑ and (§2) contains 32 lines. In §3 it is shown, conversely, that those quadrics for which a given simplex is self-polar and which contain a line of general position constitute a net of this kind.
Edge, W. L. A New Look at the Kummer Surface. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 952-967. doi: 10.4153/CJM-1967-087-5
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