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Title:
Generating equidistant points
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Abstract:
Work of Gerhard Zauner has led to the belief that, for every n, one can find n^2 points in complex projective space CP^(n-1) that are mutually equidistant in the Fubini-Study (Kaehler) metric. It is also conjectured that one can always find a vector in C^n whose orbit under a finite Heisenberg group generates such a set. I shall give some geometrical background, and new moment map interpretations of the problem.
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