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Finiteness of the formal ring of a quadratic sector. (English) Zbl 0326.12002


MSC:

11R11 Quadratic extensions
11F27 Theta series; Weil representation; theta correspondences
14J15 Moduli, classification: analytic theory; relations with modular forms
11H06 Lattices and convex bodies (number-theoretic aspects)
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[1] Cohn, H., Support polygons and the resolution of modular functional singularities, Acta Arith., 24, 261-278 (1973) · Zbl 0267.10040
[2] Cohn, H., Some explicit resolutions of modular cusp singularities, Math. Ann., 198, 123-130 (1972) · Zbl 0227.32010
[3] Gundlach, K.-B, Some new results in the theory of Hilbert’s modular group, Contributions to function theory, (International Colloquium. International Colloquium, Bombay (1960)), 165-180
[4] Hirzebruch, F., The Hilbert modular group, resolution of the singularities at the cusps and related problems, Sem. N. Bourbaki, Exp. 396 (1970/1971) · Zbl 0232.10017
[5] Hirzebruch, F.; Neumann, W. D.; Koh, S. S., (Differentiable Manifolds and Quadratic Forms (1971), Marcel Dekker: Marcel Dekker New York) · Zbl 0226.57001
[6] Karras, U., Zweidimensionale normale Singularitäten mit auflösbar lokaler Fundamentalgruppe, Bonn dissertation (1973)
[7] Laufer, H., Taut two-dimensional singularties, Math. Ann., 205, 131-161 (1973)
[8] J.-P. Serre; J.-P. Serre
[9] Siegel, C. L., Lectures on advanced analytic number theory (1961), Tata Institute: Tata Institute Bombay
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