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

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

For two-dimensional abelian varieties a case-by-case examination of the possible decomposition of fA(T) (like in the proof of Lemma 4.2) yields the following:. LEMMA

For an explicit example, let B be a super- singular elliptic curve with all endomorphisms defined, so (c/*. But for most p the quaternion algebra will have non-isomorphic maximal

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

Arboreal representations, sectional monodromy groups, and abelian varieties over finite fields.. by

MILNE - Extensions of abelian varieties defined over a finite field, Invent.. TANIYAMA - Complex multiplication of abelian varieties and its applications to number

In fact, the known cases of the birational section conjecture for curves over number fields use in a crucial way (after passing to.. a neighbourhood of the section) a map to an

No. Chi, l-adic and 03BB-adic representations associated to abelian varieties defined over number fields, Amer. Milne), Hodge cycles on abelian varieties, in Hodge

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

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

l-adic and λ-adic representations associated to abelian varieties defined over number

To prove the perfectness of { , } n , Frey and Rück used a pairing intro- duced by Tate [10], which relates certain cohomology groups of an Abelian variety over a p-adic field, and

proof of the Tate conjecture for abelian varieties over number fields, the modularity of E in the case where F = Q can be recast as the statement that E is a quotient of the jacobian

Ingénierie Electronique pour le Traitement de l’Information. p

Abstract. We prove an analogue for Drinfeld modules of the Mordell-Weil theorem on abelian varieties over number fields. with a finite torsion module. The main tool is

Zarhin, A finiteness theorem for unpolarized abelian varieties over number fields with prescribed places of bad

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