Beispiele dreidimensionaler Hilbertscher Modulmannigfaltigkeiten von allgemeinem Typ
Copyright policy )Beispiele dreidimensionaler Hilbertscher Modulmannigfaltigkeiten von allgemeinem Typ
Let k be a totally real algebraic number field of degree n with ring of integers o. By studying certain invariants rm of the isolated singularities of the usual compact ification X(k) of the quotient ℍn / ℚ Sl (2,0) we construct some example of totally real cubic number fields k such that the field of meromorphic functions of X(k) is not rational.
- Philipps-University of Marburg Germany
- DigiZeitschriften Germany
totally real number field, Local complex singularities, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Moduli, classification: analytic theory; relations with modular forms, General theory of automorphic functions of several complex variables, Article, 510.mathematics, surface of general type, defect of singularities, nonrationality of field of meromorphic functions, cusp, \(3\)-folds, Hilbert modular varieties, Singularities of surfaces or higher-dimensional varieties, Global ground fields in algebraic geometry
totally real number field, Local complex singularities, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Moduli, classification: analytic theory; relations with modular forms, General theory of automorphic functions of several complex variables, Article, 510.mathematics, surface of general type, defect of singularities, nonrationality of field of meromorphic functions, cusp, \(3\)-folds, Hilbert modular varieties, Singularities of surfaces or higher-dimensional varieties, Global ground fields in algebraic geometry
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