Basic two-dimensional versions of Hurwitz genus formula

DOI10.1007/BF00132252zbMath0609.14022MaRDI QIDQ1086643

Rolf-Peter Holzapfel

Publication date: 1986

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Euler numbersquotient mapChern numbersHurwitz genus formulaarranged surfacecompact ball quotientdifferential equations of classical hypergeometric functions of two variablesregular arrangement

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Special surfaces (14J25) Automorphisms of surfaces and higher-dimensional varieties (14J50) Topological properties in algebraic geometry (14F45)

Cites Work

• The two most algebraic K3 surfaces
• Arithmetic curves on ball quotient surface
• Compact Clifford-Klein forms of symmetric spaces
• Chern Numbers of Algebraic Surfaces — Hirzebruch's Examples are Picard Modular Surfaces
• Symmetry Points and Chern Invariants of Picard Modular Surfaces
• Invariants of Arithmetic Ball Quotient Surfaces
• Numerical Invariants and Multiple Planes
• Normal surface singularities with \(\mathbb{C}^*\) action
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