Abelian coverings of the complex projective plane branched along configurations of real lines

DOI10.1090/memo/0502zbMath0788.14054OpenAlexW2042621799MaRDI QIDQ3137744

Eriko Hironaka

Publication date: 13 October 1993

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0502

zbMATH Keywords

intersection matrixHirzebruch surfacesabelian branched coveringsalgorithm implemented on a computercomputation Chern numberscomputation of Betti numbers

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Coverings in algebraic geometry (14E20) Special surfaces (14J25)

Related Items (16)

Configurations of points and topology of real line arrangements ⋮ Abelian branched covers of rational surfaces ⋮ Double coverings of arrangement complements and 2-torsion in Milnor fiber homology ⋮ The fundamental group of partial compactifications of the complement of a real line arrangement ⋮ Hyperplane arrangements and Milnor fibrations ⋮ Hirzebruch-type inequalities viewed as tools in combinatorics ⋮ Bounded negativity and Harbourne constants on ruled surfaces ⋮ A criterion for quadraticity of a representation of the fundamental group of an algebraic variety ⋮ Braid monodromy of algebraic curves ⋮ Minimality of toric arrangements ⋮ Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients ⋮ The fundamental group of the complement of the complexification of a real arrangement of hyperplanes ⋮ The elliptic modular surface of level 4 and its reduction modulo 3 ⋮ Arrangements of Real Lines and Surfaces withAandDSingularities ⋮ Braid monodromy of complex line arrangements ⋮ Complements to Ample Divisors and Singularities

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