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Goss, David

The algebraist’s upper half-plane. (English) Zbl 0433.14017

Bull. Am. Math. Soc., New Ser. 2, 391-415 (1980).
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Cited in 2 Reviews
Cited in 49 Documents

MSC:

14G15 Finite ground fields in algebraic geometry
14G20 Local ground fields in algebraic geometry
32P05 Non-Archimedean analysis
30G06 Non-Archimedean function theory
12J25 Non-Archimedean valued fields

Keywords:

rigid analysis; non-archimedean analysis; formal Laurent series fields; modular forms
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\textit{D. Goss}, Bull. Am. Math. Soc., New Ser. 2, 391--415 (1980; Zbl 0433.14017)
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References:

[1] V. G. Drinfel\(^{\prime}\)d, Elliptic modules, Mat. Sb. (N.S.) 94(136) (1974), 594 – 627, 656 (Russian).
[2] D. Goss, \pi -adic Eisenstein series for function fields, Compositio (to appear). · Zbl 0422.10020
[3] D. Goss, Modular forms for Fr[t], Crelle’s Journal. · Zbl 0422.10021
[4] David Goss, von Staudt for \?_{\?}[\?], Duke Math. J. 45 (1978), no. 4, 885 – 910. · Zbl 0404.12013
[5] Lothar Gerritzen and Hans Grauert, Die Azyklizität der affinoiden Überdeckungen, Global Analysis (Papers in Honor of K. Kodaira), Univ. Tokyo Press, Tokyo, 1969, pp. 159 – 184 (German). · Zbl 0197.17303
[6] Reinhardt Kiehl, Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie, Invent. Math. 2 (1967), 191 – 214 (German). · Zbl 0202.20101
[7] Reinhardt Kiehl, Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Invent. Math. 2 (1967), 256 – 273 (German). · Zbl 0202.20201
[8] Serge Lang, Algebra, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1965. · Zbl 0193.34701
[9] Andrew Ogg, Modular forms and Dirichlet series, W. A. Benjamin, Inc., New York-Amsterdam, 1969. · Zbl 0191.38101
[10] Alain Robert, Elliptic curves, Lecture Notes in Mathematics, Vol. 326, Springer-Verlag, Berlin-New York, 1973. Notes from postgraduate lectures given in Lausanne 1971/72.
[11] J.-P. Serre, A course in arithmetic, Springer-Verlag, New York-Heidelberg, 1973. Translated from the French; Graduate Texts in Mathematics, No. 7. · Zbl 0256.12001
[12] Goro Shimura, Introduction to the arithmetic theory of automorphic functions, Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Kanô Memorial Lectures, No. 1. · Zbl 0221.10029
[13] John Tate, Rigid analytic spaces, Invent. Math. 12 (1971), 257 – 289. · Zbl 0212.25601
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