If it is the case, the corresponding isogeny class contains the product of elliptic curves of trace −m and these curves have q+1+m ≥ 3+1+3 = 7 rational points, thus at least

Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof.. Documents Mathématiques série dirigée par

The minimum and maximum number of rational points on jacobian surfaces over finite fields..

We give upper and lower bounds for the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties.. We also determine exact formulas for

Some of these bounds turn out to be asymptotically optimal when g → ∞ , meaning that they converge to the lower bound from the generalized Brauer–Siegel theorem for function

We give a closed expression for the number of points over finite fields of the Lusztig nilpotent variety associated to any quiver, in terms of Kac’s A-polynomials.. When the quiver

The first is to provide a series of upper and lower bounds for the number of points on an abelian variety defined over a finite field... cobian of a curve or the Prym variety of

This construction enables us to prove some results on the maximum number of rational points on an absolutely ir- reducible projective algebraic curve defined over F q of

Ingénierie Electronique pour le Traitement de l’Information. p

maximum à donner au système en BO sans risquer de le rendre instable en

Instead of considering elliptic curves over number fields of degree d, one might consider abelian varieties over Q of dimension d.. Restriction of scalars a la Weil

The conjecture interpolates, in a way that we make precise, between Lang’s conjecture for rational points on varieties of general type over number fields, and the conjecture of Lang

Although the method we develop here can be applied to any toric surface, this paper solely focuses on the projective plane and Hirzeburch surfaces, which are the only minimal

Proof of the injectivity theorem for Witt vector cohomology The main result of this section is Theorem 8.1 below, which gives an injectivity property for the functoriality

4. A DÉCIDÉ ÉGALEMENT que l’organe intergouvernemental de négociation tiendra au moins une session supplémentaire dans l’intervalle entre les troisième et quatrième sessions de

For exam- ple Fried’s ˇ Cebotarev theorem for rational function fields κ (x) over a finite field κ and Colliot-Thélène’s result that varieties over a number field with the

We establish asymptotic formulas for volumes of height balls in analytic varieties over local fields and in adelic points of algebraic varieties over number fields, relating the

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