Document Zbl 0433.14025

Multiplizitäten ”unendlich-ferner” Spitzen. (German) Zbl 0433.14025

Monatsh. Math. 88, 7-26 (1979).

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MSC:

14J17	Singularities of surfaces or higher-dimensional varieties
14H20	Singularities of curves, local rings
13H15	Multiplicity theory and related topics
32J05	Compactification of analytic spaces
32M15	Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
11F27	Theta series; Weil representation; theta correspondences

Keywords:

local multiplicities; quotient of bounded symmetric domain; analytic automorphisms; Satake compactification

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References:

[1]	Ash, A.: Smooth Compactification of Locally Symmetric Varieties. Brookline: Math. Sci. Press. 1975. · Zbl 0334.14007
[2]	Baily, W. L., andA. Borel: Compactification of arithmetic quotients of bounded symmetric domains. Ann. Math. 84, 442-528 (1966). · Zbl 0154.08602 · doi:10.2307/1970457
[3]	Braun, H., undM. Koecher: Jordan-Algebren., Berlin-Heidelberg-New York: Springer. 1966.
[4]	Freitag, E., undR. Kiehl: Algebraische Eigenschaften der lokalen Ringe in den Spitzen der Hilbertschen Modulgruppen. Inv. Math. 24, 121-148 (1974). · Zbl 0304.32018 · doi:10.1007/BF01404302
[5]	Igusa, I.: A desingularization problem in the theory of Siegel modular functions. Math. Ann. 168, 228-260 (1967). · Zbl 0145.09702 · doi:10.1007/BF01361555
[6]	Klee, V. L.: Extremal structures of convex sets. Arch. Math. 8, 234-240 (1957). · Zbl 0079.12501 · doi:10.1007/BF01899998
[7]	Kn?ller, F. W.: Elementare Berechnung der Multiplizit?tenn-dimensionaler Spitzen. Math. Ann. 255, 131-143 (1977). Korrektur zu dieser Arbeit Math. Ann. 261, 91-96 (1977). · doi:10.1007/BF01351717
[8]	Koecher, M.: Positivit?tsbereiche im ? n Amer. J. Math. 79, 575-596 (1957). · Zbl 0078.01205 · doi:10.2307/2372563
[9]	Maass, H.: Lectures on Modular Functions of One Complex Variable. Bombay: Tata Inst. Fund. Res. 1964. · Zbl 0254.10018

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