Computing the arithmetic genus of Hilbert modular fourfolds

DOI10.1090/S0025-5718-06-01842-4zbMath1101.11016OpenAlexW1997779691MaRDI QIDQ5470070

Helen G. Grundman, L. E. Lippincott

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01842-4

zbMATH Keywords

quotient spaces of Hilbert modular groups of totally real number fields

Mathematics Subject Classification ID

(4)-folds (14J35) Families, moduli, classification: algebraic theory (14J10) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Rationality questions in algebraic geometry (14E08) Values of arithmetic functions; tables (11Y70)

Uses Software

• KANT/KASH
• PARI/GP

Cites Work

• PARI/GP
• Hilbert modular varieties of Galois quartic fields
• Hilbert modular surfaces and the classification of algebraic surfaces
• On the values at negative integers of the zeta-function of a real quadratic field
• KANT V4
• Hilbert modular surfaces
• Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
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