Explicit resolutions of cubic cusp singularities

DOI10.1090/S0025-5718-99-01121-7zbMath0999.11023OpenAlexW2009585655MaRDI QIDQ4942792

Helen G. Grundman

Publication date: 15 March 2000

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01121-7

zbMATH Keywords

algorithmsfundamental domaintotally real cubic fieldsHilbert varietiesresolutions of cusp singularitiesvalues of partial zeta-functions

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Zeta functions and (L)-functions of number fields (11R42) Modular and Shimura varieties (14G35) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (3)

On Hilbert modular threefolds of discriminant 49 ⋮ Colmez cones for fundamental units of totally real cubic fields ⋮ Computing Shintani domains

Uses Software

• LiDIA

Cites Work

• The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields
• Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten
• Formal ring of a cubic solid angle
• On the resolution of cusp singularities and the Shintani decomposition in totally real cubic number fields
• A Table of Fundamental Pairs of Units in Totally Real Cubic Fields
• On the arithmetic of tube domains (blowing-up of the point at infinity)
• Algebraic Number-Fields with two Independent Units
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