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math.AG2012★ 2 cited
Polynomials invertible in k-radicals
Yuri Burda, Askold Khovanskii
A classic result of Ritt describes polynomials invertible in radicals: they are compositions of power polynomials, Chebyshev polynomials and polynomials of degree at most 4. In thi…
math.AG2012
Signatures of Branched Coverings
Yuri Burda, Askold Khovanskii
In this paper we deal with branched coverings over the complement to finitely many exceptional points on the Riemann sphere having the property that the local monodromy around each…
math.AG2010★ 7 cited
Around rational functions invertible in radicals
Yuri Burda
A class of rational functions characterized by some wonderful properties is studied. The properties that identify this class include simple algebra (their inverses can be expressed…