Le mercredi 4 janvier 2017 21:47:00 UTC+1, Dima Pasechnik a écrit : > > > > It's because I need to consider sqrt(-z), so that I cannot stay with >> rational functions. >> > > I woud have picked one more variable, w, and set w^2=-z. > Now everything is polynomial again... > > But z is not a variable: it is (minus) the determinant of the Tomimatsu-Sato metric w.r.t. to the coordinates (x,y,phi), which turns out to be a rational function in (x,y). For further computations, the explicit expression of the volume element sqrt(-z) in terms of (x,y) is required. So I don't see how I could use something like w^2=-z with w being a function of (x,y) without taking a square root.
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