SOLUTION OF THE HURWITZ PROBLEM FOR LAURENT POLYNOMIALS

DOI10.1142/S0218216509006896zbMath1202.57003arXivmath/0611776OpenAlexW2108927167MaRDI QIDQ3628097

Fedor Pakovitch

Publication date: 19 May 2009

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611776

zbMATH Keywords

branched coveringrational functionHurwitz problemLaurent polynomial

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (13)

Explicit computation of some families of Hurwitz numbers ⋮ Realizations of certain odd-degree surface branch data ⋮ Almost-regular dessins d'enfant on a torus and sphere ⋮ Explicit computation of some families of Hurwitz numbers. II ⋮ Realizations of branched self-coverings of the 2-sphere ⋮ Branched covers of the sphere and the prime-degree conjecture ⋮ Unnamed Item ⋮ Spherical conic metrics and realizability of branched covers ⋮ Minimum degree of the difference of two polynomials over~\({\mathbb Q}\), and weighted plane trees ⋮ Indecomposable branched coverings over the projective plane by surfaces M with χ(M) ≤ 0 ⋮ THE COMPLEXITY OF RIEMANN SURFACES AND THE HURWITZ EXISTENCE PROBLEM ⋮ Surface branched covers and geometric 2-orbifolds ⋮ The Hurwitz existence problem for surface branched covers

Cites Work

• On the existence of branched coverings between surfaces with prescribed branch data. I
• Nonequivalent coverings of Riemann surfaces with a prescribed ramification type
• L'équivalence d'une fonction différentiable et d'un polynôme
• Branched coverings of riemann surfaces whose branch orders coincide with the multiplicity
• ON THE EXISTENCE OF BRANCHED COVERINGS BETWEEN SURFACES WITH PRESCRIBED BRANCH DATA, II
• BRANCHED COVERS OF S² AND BRAID GROUPS
• Ramified coverings of Riemann surfaces
• On realizability of branched coverings of the sphere

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