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Algebraische Eigenschaften der lokalen Ringe in den Spitzen der Hilbertschen Modulgruppen. (German) Zbl 0304.32018


MSC:

32N10 Automorphic forms in several complex variables
11F27 Theta series; Weil representation; theta correspondences
13E05 Commutative Noetherian rings and modules
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
11R80 Totally real fields
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References:

[1] Bourbaki, N.: Elements de mathematique. Fas. XXXIV, Groupes et Algèbres de Lie, Chap. V. Paris: Hermann 1968 · Zbl 0186.33001
[2] Chevalley, C.: Séminaire: Groupes de Lie algebriques (1956/58)
[3] Freitag, E.,: Lokale und globale Invarianten der Hilbertschen Modulgruppe. Inventiones math.17, 106-134 (1972) · Zbl 0272.32010 · doi:10.1007/BF01418935
[4] Hasse, H., Roquette, P.: Algebraische Zahlentheorie, Berichte aus dem Math. Forschungsinstitut Oberwolfach, S. 53. Mannheim: Bibl. Institut · Zbl 0189.01502
[5] Lang, S.: Diophantine geometrie, chap. VIII, S. 142-162, Interscience tracts in pure and applied Math. New York: Interscience Publishers
[6] Pjatecki-Shapiro: Geometry of classical domains and automorphic functions (russisch). Moskau: Fitzmatgiz 1961
[7] Schur, I.: Vorlesungen über Invariantentheorie. Berlin-Heidelberg-New York: Springer 1968 · Zbl 0159.03703
[8] Trautmann, G.: Ein Endlichkeitssatz in der analytischen Geometrie. Inventiones math.8, 143-174 (1969) · Zbl 0175.37601 · doi:10.1007/BF01404617
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