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Displaying 1 – 19 of 19

$𝔽_{1}$ -schemes and toric varieties.

Deitmar, Anton (2008)

Beiträge zur Algebra und Geometrie

$ℒ$ -invariants and Darmon cycles attached to modular forms

Victor Rotger, Marco Adamo Seveso (2012)

Journal of the European Mathematical Society

Let $f$ be a modular eigenform of even weight $k \geq 2$ and new at a prime $p$ dividing exactly the level with respect to an indefinite quaternion algebra. The theory of Fontaine-Mazur allows to attach to $f$ a monodromy module $D_{f}^{F M}$ and an $ℒ$ -invariant $ℒ_{f}^{F M}$ . The first goal of this paper is building a suitable $p$ -adic integration theory that allows us to construct a new monodromy module $D_{f}$ and $ℒ$ -invariant $ℒ_{f}$ , in the spirit of Darmon. The two monodromy modules are isomorphic, and in particular the two $ℒ$ -invariants are equal....

$𝒟$ -modules arithmétiques surcohérents. Application aux fonctions $L$

Daniel Caro (2004)

Annales de l’institut Fourier

Nous étudions d’abord le foncteur cohomologique local. Ensuite, nous introduisons la notion de $𝒟$ -modules arithmétiques surcohérents. Nous prouvons que les $F$ - isocristaux unités sont surcohérents et surtout que la surcohérence est stable par images directes, images inverses extraordinaires et foncteurs cohomologiques locaux. On obtient, via cette stabilité, une formule cohomologique pour les fonctions $L$ associées aux complexes duaux de complexes surcohérents. Celle-ci étend celle d’Étesse et Le Stum...

14-term arithmetic progressions on quartic elliptic curves.

MacLeod, Allan J. (2006)

Journal of Integer Sequences [electronic only]

2-Cohomology of semi-simple simply connected group-schemes over curves defined over $p$ -adic fields

Jean-Claude Douai (2013)

Journal de Théorie des Nombres de Bordeaux

Let $X$ be a proper, smooth, geometrically connected curve over a $p$ -adic field $k$ . Lichtenbaum proved that there exists a perfect duality: $Br (X) \times Pic (X) \to ℚ / ℤ$ between the Brauer and the Picard group of $X$ , from which he deduced the existence of an injection of $Br (X)$ in $\prod_{P \in X} Br (k_{P})$ where $P \in X$ and $k_{P}$ denotes the residual field of the point $P$ . The aim of this paper is to prove that if $G = \tilde{G}$ is an $X_{e t}$ - scheme of semi-simple simply connected groups (s.s.s.c groups), then we can deduce from Lichtenbaum’s results the neutrality of every $X_{e t}$ -gerb which...

3-Selmer groups for curves $y^{2} = x^{3} + a$

Andrea Bandini (2008)

Czechoslovak Mathematical Journal

We explicitly perform some steps of a 3-descent algorithm for the curves $y^{2} = x^{3} + a$ , $a$ a nonzero integer. In general this will enable us to bound the order of the 3-Selmer group of such curves.

Currently displaying 1 – 19 of 19

Page 1

Displaying 1 – 19 of 19

$𝔽_{1}$ -schemes and toric varieties.

$ℒ$ -invariants and Darmon cycles attached to modular forms

$𝒟$ -modules arithmétiques surcohérents. Application aux fonctions $L$

14-term arithmetic progressions on quartic elliptic curves.

2-Cohomology of semi-simple simply connected group-schemes over curves defined over $p$ -adic fields

3-Selmer groups for curves $y^{2} = x^{3} + a$

?ber singul?re Invarianten elliptischer Funktionenk?rper.

[unknown]

[unknown]

[unknown]

θ-congruent numbers and elliptic curves

$Λ$ -adic Euler characteristics of elliptic curves.

Высота на семействах абелевых многообразий

Критерий конечности числа рациональных точек для скрученных эллиптических кривых Вейля

О группах Зельмeра суперсингулярных эллиптических кривых

О примитивных элементах в конечных полях и на эллиптических кривых

Схемы СМ-типа

Эллиптические модули

Эллиптические модули. II

Currently displaying 1 – 19 of 19