Cyclic branched coverings of surfaces with Abelian quotient singularities

DOI10.1512/iumj.2022.71.8768zbMath1491.14026arXiv1912.08670OpenAlexW2995253866MaRDI QIDQ5071008

Jorge Martín-Morales, José Ignacio Cogolludo-Agustín, Enrique Artal Bartolo

Publication date: 19 April 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08670

zbMATH Keywords

normal surfacesquotient singularitymultiplier idealsZariski pairsAlexander polynomialsweighted projective planecyclic branched coveringweighted blowupadjunction idealsembedded Q-resolution

Mathematics Subject Classification ID

Plane and space curves (14H50) Coverings of curves, fundamental group (14H30) Coverings in algebraic geometry (14E20) Topological properties in algebraic geometry (14F45)

Cites Work

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• Alexander polynomial of plane algebraic curves and cyclic multiple planes
• Weil divisors on normal surfaces
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Fibre de Milnor d'un cône sur une courbe plane singulière
• Le polynôme d'Alexander d'une courbe plane projective. (The Alexander polynomial of a projective plane curve)
• Riemann-Roch theorem for normal surfaces and applications
• Zariski's conjecture and related problems
• Singularities and Their Interaction with Geometry and Low Dimensional Topology
• Cremona Transformations of Weighted Projective Planes, Zariski Pairs, and Rational Cuspidal Curves
• Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions

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