Hirzebruch's conjecture on cusp singularities

DOI10.1007/BF01445095zbMath0810.14002OpenAlexW1968099476WikidataQ122982623 ScholiaQ122982623MaRDI QIDQ1318099

Shoetsu Ogata

Publication date: 17 April 1995

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

Full work available at URL: https://eudml.org/doc/165075

zbMATH Keywords

\(L\)-functioncusp singularitysignature defect of a Hilbert modular cusp

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items (3)

On \(Q\)-structures of quasisymmetric domains ⋮ Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums ⋮ Signature defects of Hilbert-Picard modular cusps

Cites Work

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• Higher dimensional analogues of periodic continued fractions and cusp singularities
• Special values of zeta functions associated to cusp singularities
• \(L^ 2\) and intersection cohomologies for a polarizable variation of Hodge structure
• Riemann-Roch and smoothings of singularities
• Hilbert modular surfaces
• The index of elliptic operators. III
• On discontinuous groups operating on the product of the upper half planes
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I

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