Pseudo-elliptic integrals and the values of the Weierstrass -function at torsion points.
Mall, Daniel (1997)
Mathematica Pannonica
Marc-Hubert Nicole, Adrian Vasiu, Torsten Wedhorn (2010)
Annales scientifiques de l'École Normale Supérieure
Let be a field of characteristic . Let be a over (i.e., an -truncated Barsotti–Tate group over ). Let be a -scheme and let be a over . Let be the subscheme of which describes the locus where is locally for the fppf topology isomorphic to . If , we show that is pure in , i.e. the immersion is affine. For , we prove purity if satisfies a certain technical property depending only on its -torsion . For , we apply the developed techniques to show that all level ...
Eriksson, Nicholas (1999)
International Journal of Mathematics and Mathematical Sciences
Yuji Hasegawa (1997)
Manuscripta mathematica
Koh-ichi Nagao (1997)
Manuscripta mathematica
Stephan Baier, Ulrich Derenthal (2015)
Acta Arithmetica
We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is A₅ + A₁.
Motoko Qiu Kawakita, Shinji Miura (2002)
Acta Arithmetica
Francesco Veneziano (2011)
Rendiconti del Seminario Matematico della Università di Padova
Pilar Bayer, Iván Blanco-Chacón (2013)
Journal de Théorie des Nombres de Bordeaux
We introduce the concept of quadratic modular symbol and study how these symbols are related to quadratic-adic -functions. These objects were introduced in [3] in the case of modular curves. In this paper, we discuss a method to attach quadratic modular symbols and quadratic -adic -functions to more general Shimura curves.
Stefano Cardanobile, Delio Mugnolo (2008)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We apply functional analytical and variational methods in order to study well-posedness and qualitative properties of evolution equations on product Hilbert spaces. To this aim we introduce an algebraic formalism for matrices of sesquilinear mappings. We apply our results to parabolic problems of different nature: a coupled diffusive system arising in neurobiology, a strongly damped wave equation, and a heat equation with dynamic boundary conditions.
Yuri F. Bilu, Marco Strambi (2010)
Acta Arithmetica
Hossein Movasati (2012)
Annales mathématiques Blaise Pascal
In the present text we give a geometric interpretation of quasi-modular forms using moduli of elliptic curves with marked elements in their de Rham cohomologies. In this way differential equations of modular and quasi-modular forms are interpreted as vector fields on such moduli spaces and they can be calculated from the Gauss-Manin connection of the corresponding universal family of elliptic curves. For the full modular group such a differential equation is calculated and it turns out to be the...
Ernst-Ulrich Gekeler (1989)
Compositio Mathematica
David Harari (2007)
Bulletin de la Société Mathématique de France
On étudie différentes propriétés d’approximation pour des espaces homogènes (à stabilisateur fini) de sur un corps de nombres. On discute également du lien avec le problème de Galois inverse et on établit une formule pour le groupe de Brauer non ramifié de .
Massimo Giulietti, Gábor Korchmáros, Fernando Torres (2006)
Acta Arithmetica
Alena Pirutka (2012)
Journal de Théorie des Nombres de Bordeaux
La méthode de la descente a été introduite et développée par Colliot-Thélène et Sansuc. Elle permet d’étudier l’arithmétique de certaines variétés rationnelles. Dans ce texte on montre comment il en résulte que pour certaines familles de variétés rationnelles sur un corps local de caractéristique nulle le nombre des classes de -équivalence de la fibre est localement constant quand varie dans .
D. Mirimanoff (1903)
Mathematische Annalen
Rainer Dietmann, Oscar Marmon (2015)
Acta Arithmetica
We consider Thue equations of the form , and assuming the truth of the abc-conjecture, we show that almost all locally soluble Thue equations of degree at least three violate the Hasse principle. A similar conclusion holds true for Fermat equations of degree at least six.
Odile Lecacheux (2003)
Journal de théorie des nombres de Bordeaux
On construit des courbes elliptiques sur de rang au moins 3, avec un sous-groupe de torsion non trivial. Par spécialisation, des courbes elliptiques de rang 5 et 6 sur sont obtenues.
Etienne Fouvry, Jacek Pomykala (1993)
Monatshefte für Mathematik