Topological and Algebraic Cycles in Kuga-Shimura Varieties.
Torsion and Tamagawa numbers
Let be a number field, and let be an abelian variety. Let denote the product of the Tamagawa numbers of , and let denote the finite torsion subgroup of . The quotient is a factor appearing in the leading term of the -function of in the conjecture of Birch and Swinnerton-Dyer. We investigate in this article possible cancellations in this ratio. Precise results are obtained for elliptic curves over or quadratic extensions , and for abelian surfaces . The smallest possible ratio...
Torsion des courbes elliptiques sur les corps cubiques
On donne la liste (à un élément près) des nombres premiers qui sont l’ordre d’un point de torsion d’une courbe elliptique sur un corps de nombres de degré trois.
Torsion groups of elliptic surfaces
Torsion points on abelian varieties of CM-type
Torsion points on elliptic curves and galois module structure.
Torsion points on elliptic curves and q-coeffincients of modular forms.
Torsion Points on Elliptic Curves over a Global Field.
Torsion points on elliptic curves over all quadratic fields. II
Torsion points on elliptic curves over fileds of low degree.
Torsion Points on Elliptic Curves with Given j-Invariant.
Torsion points on fermat curves
Torsion points on Jacobians of quotients of Fermat curves and p-adic soliton theory.
Torsion points on the modular jacobian
Torsion subgroups of elliptic curves with non-cyclic torsion over ℚ in elementary abelian 2-extensions of ℚ
Torsors under tori and Néron models
Let be a Henselian discrete valuation ring with field of fractions . If is a smooth variety over and a torus over , then we consider -torsors under . If is a model of then, using a result of Brahm, we show that -torsors under extend to -torsors under a Néron model of if is split by a tamely ramified extension of . It follows that the evaluation map associated to such a torsor factors through reduction to the special fibre. In this way we can use the geometry of the special...
Trace and families of algebraic curves.
Traces of high powers of the Frobenius class in the hyperelliptic ensemble
Transformation de Fourier, constantes d'équations fonctionnelles et conjecture de Weil
Transformation de Fourier et majoration de sommes exponentielles