Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields
Effective Convergence Bounds for Frobenius Structures on Connections
Effective diophantine approximation on , II
Effective equidistribution of S-integral points on symmetric varieties
Let be a global field of characteristic not 2. Let be a symmetric variety defined over and a finite set of places of . We obtain counting and equidistribution results for the S-integral points of . Our results are effective when is a number field.
Eichler cohomology and periods of modular forms on p-adic Schottky groups.
Eigensections on Kuga families of abelian varieties and finiteness of their Mordell-Weil groups.
Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve.
Ein globaler Starrheitssatz für Mumfordkurven.
Eine Bemerkung zur Reduktionstheorie in orthogonalen Gruppen.
Eine Klassenzahlformel für singuläre Moduln der Picardschen Modulgruppen
El teorema del camino mínimo en característica p.
Elementary equivalence and codimension in p-adic fields.
Elements of large order on varieties over prime finite fields
Let be a fixed algebraic variety defined by polynomials in variables with integer coefficients. We show that there exists a constant such that for almost all primes for all but at most points on the reduction of modulo at least one of the components has a large multiplicative order. This generalises several previous results and is a step towards a conjecture of B. Poonen.
Elliptic curves and local -factors
Elliptic Curves: Diophantine Torsion Solutions and Singular j-Invariants.
Elliptic curves with and counterexamples to local-global divisibility by 9
We give a family of elliptic curves, depending on two nonzero rational parameters and , such that the following statement holds: let be an elliptic curve and let be its 3-torsion subgroup. This group verifies if and only if belongs to .Furthermore, we consider the problem of the local-global divisibility by 9 for points of elliptic curves. The number 9 is one of the few exceptional powers of primes, for which an answer to the local-global divisibility is unknown in the case of such...
Elliptic curves with a rational point of finite order.
Elliptic curves with all quadratic twists of positive rank
Elliptic curves with bounded ranks in function field towers
Elliptic curves with j-invariant equals 0 or 1728 over a finite prime field.
Let p be a prime number, p ≠ 2,3 and Fp the finite field with p elements. An elliptic curve E over Fp is a projective nonsingular curve of genus 1 defined over Fp. Each one of these curves has an isomorphic model given by an (Weierstrass) equation E: y2 = x3 + Ax + B, A,B ∈ Fp with D = 4A3 + 27B2 ≠ 0. The j-invariant of E is defined by j(E) = 1728·4A3/D.The aim of this note is to establish some results concerning the cardinality of the group of points on elliptic curves over Fp with j-invariants...