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Degré d’une extension de $𝐐_{p}^{nr}$ sur laquelle $J_{0} (N)$ est semi-stable

Mohamed Krir (1996)

Annales de l'institut Fourier

Soit $N$ un entier $\geq 1$ . Pour un nombre premier $p$ on note $Q_{p}^{nr}$ l’extension maximale non ramifiée de $Q_{p}$ . Supposons que $p^{v}$ divise exactement $N$ . Alors, en utilisant les travaux de Carayol et la théorie du corps de classes local, on détermine une extension $E_{v}$ de $Q_{p}^{nr}$ sur laquelle la jacobienne $J_{0}$ de la courbe modulaire de $X_{0} (N)$ admet une réduction semi-stable, puis on donne une estimation de son degré.

Derivatives of Eisenstein series and generating functions for arithmetic cycles

Stephen S. Kudla (1999/2000)

Séminaire Bourbaki

Die Fundamentalgruppen Siegelscher Modulvarietäten.

Holger Heidrich-Riske (1990)

Manuscripta mathematica

Differential overconvergence

Alexandru Buium, Arnab Saha (2011)

Banach Center Publications

We prove that some of the basic differential functions appearing in the (unramified) theory of arithmetic differential equations, especially some of the basic differential modular forms in that theory, arise from a "ramified situation". This property can be viewed as a special kind of overconvergence property. One can also go in the opposite direction by using differential functions that arise in a ramified situation to construct "new" (unramified) differential functions.

Dimensions of some affine Deligne–Lusztig varieties

Ulrich Görtz, Thomas J. Haines, Robert E. Kottwitz, Daniel C. Reuman (2006)

Annales scientifiques de l'École Normale Supérieure

Diophantische Analysis und Modulfunktionen.

Kurt Heegner (1952)

Mathematische Zeitschrift

Dirichlet motives via modular curves

Annette Huber, Guido Kings (1999)

Annales scientifiques de l'École Normale Supérieure

Drinfeld shtukas and applications. (Chtoucas de Drinfeld et applications.)

Lafforgue, L. (1998)

Documenta Mathematica

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