The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields

DOI10.1016/S0022-314X(05)80047-2zbMath0715.11023MaRDI QIDQ752058

Helen G. Grundman

Publication date: 1991

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Hilbert modular varietiesnon-Galois cubic fieldsarithmetic genus oneelliptic fixed pointsHirzebruch-Vignéras formula for the arithmetic genusspecial 3-foldstotally real cubic fields

Mathematics Subject Classification ID

(3)-folds (14J30) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) 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) Totally real fields (11R80)

Related Items

Defect series and nonrational Hilbert modular threefolds ⋮ On the classification of Hilbert modular threefolds ⋮ Hilbert modular varieties of Galois quartic fields ⋮ Hilbert modular threefolds of arithmetic genus one ⋮ Explicit resolutions of cubic cusp singularities ⋮ Defects of cusp singularities and the classification of Hilbert modular threefolds ⋮ Nonrational Hilbert modular threefolds

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