The irregularities of Hirzebruch's examples of surfaces of general type with \(c_1^2=3 c_2\)

DOI10.1007/BF01456018zbMath0488.14009OpenAlexW2047506143MaRDI QIDQ1165916

Masa-Nori Ishida

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163714

zbMATH Keywords

surfaces of general typeirregularitiesinequality for Chern numbers

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Group actions on varieties or schemes (quotients) (14L30) Singularities of surfaces or higher-dimensional varieties (14J17) Characteristic classes and numbers in differential topology (57R20) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Special surfaces (14J25) Topological properties in algebraic geometry (14F45)

Related Items (10)

Betti numbers of congruence groups. (Appendix: On representations of compact \(p\)-adic groups by Ze'ev Rudnick) ⋮ Poincaré series on bounded symmetric domains ⋮ FIRST BETTI NUMBERS OF ABELIAN COVERINGS OF THE COMPLEX PROJECTIVE PLANE BRANCHED OVER LINE CONFIGURATIONS ⋮ Complex ball quotients and new symplectic \(4\)-manifolds with nonnegative signatures ⋮ On the first Betti numbers of hyperbolic surfaces ⋮ Albanese varieties of abelian covers ⋮ Mixed multiplier ideals and the irregularity of abelian coverings of smooth projective surfaces ⋮ On the volumes of complex hyperbolic manifolds ⋮ Stable Higgs bundles with trivial Chern classes. Several examples ⋮ Complements to Ample Divisors and Singularities

Cites Work

• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
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