Minimal algebraic solutions of the sixth equation of Painlev\'e
Abstract
For each of the forty-eight exceptional algebraic solutions u(x) of the sixth equation of Painlev\'e, we build the algebraic curve P(u,x)=0 of a degree conjectured to be minimal, then we give an optimal parametric representation of it. This degree is equal to the number of branches, except for fifteen solutions.
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