Polynomial periodicity for Betti numbers of covering surfaces

DOI10.1007/BF02100607zbMath0776.14002OpenAlexW2057674288MaRDI QIDQ1207406

Eriko Hironaka

Publication date: 1 April 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143996

zbMATH Keywords

branched coveringBetti number of a desingularizationpolynomial periodicity for Betti numbers

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Classical real and complex (co)homology in algebraic geometry (14F25) Divisors, linear systems, invertible sheaves (14C20) Coverings in algebraic geometry (14E20)

Related Items

Betti numbers of congruence groups. (Appendix: On representations of compact \(p\)-adic groups by Ze'ev Rudnick) ⋮ Representation varieties of arithmetic groups and polynomial periodicity of Betti numbers ⋮ FIRST BETTI NUMBERS OF ABELIAN COVERINGS OF THE COMPLEX PROJECTIVE PLANE BRANCHED OVER LINE CONFIGURATIONS ⋮ Alexander varieties and largeness of finitely presented groups ⋮ Albanese varieties of abelian covers ⋮ Some cyclic covers of complements of arrangements ⋮ Mixed multiplier ideals and the irregularity of abelian coverings of smooth projective surfaces ⋮ Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers

Cites Work

• Alexander polynomial of plane algebraic curves and cyclic multiple planes
• Free differential calculus. III: Subgroups
• Komplexe Räume
• On the irregularity of cyclic multiple planes
• Torsion-Groups of Abelian Coverings of Links
• Numerical Invariants and Multiple Planes
• Exponential diophantine equations
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