Special values of zeta functions associated to cusp singularities

DOI10.2748/tmj/1178228648zbMath0588.14016OpenAlexW2028125609MaRDI QIDQ1073119

Shoetsu Ogata

Publication date: 1985

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228648

zbMATH Keywords

exceptional divisorsmeromorphic continuation of zeta functiontorus embeddingsTsuchihashi cusp singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Singularities of curves, local rings (14H20)

Related Items

On \(Q\)-structures of quasisymmetric domains, Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums, Hirzebruch's conjecture on cusp singularities

Cites Work

• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Eta invariants, signature defects of cusps, and values of L-functions
• Higher dimensional analogues of periodic continued fractions and cusp singularities
• Valeurs aux entiers négatifs des séries de Dirichlet associées à un polynôme. I
• Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten
• Hilbert modular surfaces
• On discontinuous groups operating on the product of the upper half planes
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