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math.CV2010
Elementary construction of some Jenkins-Strebel differentials
Andrei Bogatyrev
We give an explicit multi-parametric construction for Jenkins-Strebel differentials on real algebraic curves. Roughly speaking, the square of any real holomorphic abelian different…
math.CV2010
Rational functions admitting double decomposition
Andrei Bogatyrev
J.Ritt has investigated the structure of complex polynomials with respect to superposition. In particular, he listed all the polynomials admitting different double decompositions i…