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Geometry of an étale covering of the $p$ -adic upper half plane

Jeremy Teitelbaum (1990)

Annales de l'institut Fourier

We describe the rigid geometry of the first layer in the tower of coverings of the $p$ -adic upper half plane constructed by Drinfeld. Using our results, we describe the stable fiber at p of certain Shimura curves.

Greatest common divisors of $u - 1$ , $v - 1$ in positive characteristic and rational points on curves over finite fields

Pietro Corvaja, Umberto Zannier (2013)

Journal of the European Mathematical Society

In our previous work we proved a bound for the $g c d (u - 1, v - 1)$ , for $S$ -units $u, v$ of a function field in characteristic zero. This generalized an analogous bound holding over number fields, proved in [3]. As pointed out by Silverman, the exact analogue does not work for function fields in positive characteristic. In the present work, we investigate possible extensions in that direction; it turns out that under suitable assumptions some of the results still hold. For instance we prove Theorems 2 and 3 below, from...

Interpolation p-adique des dérivées logarithmiques et fonctions L p-adiques associées à des courbes elliptiques à multiplication complexe.

J.L. BOXALL (1984/1985)

Seminaire de Théorie des Nombres de Bordeaux

Currently displaying 101 – 120 of 320

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Displaying 101 – 120 of 320

Geometry of an étale covering of the $p$ -adic upper half plane

Greatest common divisors of $u - 1$ , $v - 1$ in positive characteristic and rational points on curves over finite fields

H*(C/B,L) for G of semi-simple rank 2

Height pairings in families of deformations.

Immersione canonica e mappa dei periodi. Il caso dei gruppi di Barsotti-Tate étale e moltiplicativi

Inegalite relative des genres.

Integrale zweiter Gattung auf Mumfordkurven.

Intégration sur les variétés $p$ -adiques

Internal reconstruction of unit-root $F$ -crystals via expansion-coefficients. With an appendix by Luc Illusie

Interpolation p-adique des dérivées logarithmiques et fonctions L p-adiques associées à des courbes elliptiques à multiplication complexe.

Intersection Numbers of Curves on Hilbert Modular Surfaces and Modular Forms of Nebentypus.

Introduction aux formes modulaires. Formes modulaires $p$ -adiques

Isolated points on fibers of affinoid varieties.

Jacobiennes des courbes de Mumford

Kloosterman sums and monodromy of a $p$ -adic hypergeometric equation

Kubert-lang units and elliptic curves without complex multiplication

La conjecture de Weil : II

La structure de Hyodo-Kato pour les courbes

La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer

l-adic representations associated to modular forms over imaginary quadratic fields. II.

Currently displaying 101 – 120 of 320