The Hasse-Weil \(\zeta\)-function of some moduli varieties of dimension greater than one. (English) Zbl 0415.14011

Automorphic forms, representations and L-functions, Proc. Symp. Pure Math. Am. Math. Soc., Corvallis/Oregon 1977, Proc. Symp. Pure Math. 33, 2, 141-163 (1979).


14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
14J10 Families, moduli, classification: algebraic theory
11R42 Zeta functions and \(L\)-functions of number fields
11R39 Langlands-Weil conjectures, nonabelian class field theory
14J20 Arithmetic ground fields for surfaces or higher-dimensional varieties
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
14K15 Arithmetic ground fields for abelian varieties