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Comparaison des métriques d’Arakelov et de Poincaré sur $X_0(N)$

Ahmed Abbes and Emmanuel Ullmo
Source: Duke Math. J. Volume 80, Number 2 (1995), 295-307.
First Page: Show Hide
Primary Subjects: 11G18
Secondary Subjects: 11F11, 11F25, 14G40
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077246084
Mathematical Reviews number (MathSciNet): MR1369394
Zentralblatt MATH identifier: 0895.14007
Digital Object Identifier: doi:10.1215/S0012-7094-95-08012-0

References

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[4] H. Carayol, Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert, Ann. Sci. École Norm. Sup. (4) 19 (1986), no. 3, 409–468.
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[10] J. H. Silverman, Heights and elliptic curves, Arithmetic geometry (Storrs, Conn., 1984) eds. G. Cornell and J. Silverman, Springer, New York, 1986, pp. 253–265.
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[12] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, vol. 13, Institut Elie Cartan, Université de Nancy I, Vandoeuvre-lès-Nancy, 1990.
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[13] D. Zagier, Modular parametrizations of elliptic curves, Canad. Math. Bull. 28 (1985), no. 3, 372–384.
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[14] D. Zagier, Eisenstein series and the Selberg trace formula. I, Automorphic forms, representation theory and arithmetic (Bombay, 1979), Tata Inst. Fund. Res. Studies in Math., vol. 10, Tata Inst. Fundamental Res., Bombay, 1981, pp. 303–355.
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