On the existence of branched coverings between surfaces with prescribed branch data. I

DOI10.2140/agt.2006.6.1957zbMath1132.57002arXivmath/0508434OpenAlexW3099498427MaRDI QIDQ863086

Ekaterina Pervova, Carlo Petronio

Publication date: 25 January 2007

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508434

zbMATH Keywords

surfacebranched coveringRiemann-Hurwitz formula

Mathematics Subject Classification ID

Related Items (17)

The geometry of Euclidean surfaces with conical singularities ⋮ Realizations of branched self-coverings of the 2-sphere ⋮ Holonomy of complex projective structures on surfaces with prescribed branch data ⋮ Applying TQFT to count regular coverings of Seifert 3-manifolds ⋮ Translation surfaces and periods of meromorphic differentials ⋮ Abelian tropical covers ⋮ The closure of double ramification loci via strata of exact differentials ⋮ Branched covers of the sphere and the prime-degree conjecture ⋮ ON THE EXISTENCE OF BRANCHED COVERINGS BETWEEN SURFACES WITH PRESCRIBED BRANCH DATA, II ⋮ Non-isotopic symplectic surfaces in product 4-manifolds ⋮ Spherical conic metrics and realizability of branched covers ⋮ THE COMPLEXITY OF RIEMANN SURFACES AND THE HURWITZ EXISTENCE PROBLEM ⋮ Partial algebraic solutions of isomonodromy equations on genus 2 curves ⋮ SOLUTION OF THE HURWITZ PROBLEM FOR LAURENT POLYNOMIALS ⋮ Surface branched covers and geometric 2-orbifolds ⋮ On fibrations approaching the Arakelov equality ⋮ The Hurwitz existence problem for surface branched covers

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