A. Pacheco

activity

20002004

most citedOn the variation of the rank of Jacobian varieties on unramified abelian towers over number fields

1 citations · 2 across the 3 of their papers we have counts for

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math.NT2004

On the rank of abelian varieties over function fields

Amilcar Pacheco

Let $\cac$ be a smooth projective curve defined over a number field $k$ , $A/k(\cac)$ an abelian variety and $(τ, B)$ the $k(\cac)/k$-trace of $A$ . We estimate how the rank of $A(k(\…

math.NT2003★ 1 cited

On the variation of the rank of Jacobian varieties on unramified abelian towers over number fields

Amilcar Pacheco

Let $C$ be a smooth projective curve defined over a number field $k$ , $X / k (C)$ a smooth projective curve of positive genus, $J_{X}$ the Jacobian variety of $X$ and $(τ, B)$ the $k(C)/…

math.NT2002★ 1 cited

A note on Galois modules and the algebraic fundamental group of projective curves

Amilcar Pacheco

Let $X$ be a smooth projective connected curve of genus $g \geq 2$ defined over an algebraically closed field $k$ of characteristic $p > 0$ . Let $G$ be a finite group, $P$ a Sylow $p$ -…

math.NT2001

Distribution of the traces of Frobenius on elliptic curves over function fields

Amilcar Pacheco

Let C be a smooth irreducible projective curve defined over a finite field $F_{q}$ of q elements of characteristic p>3 and $K = F_{q} (C)$ its function field and $ϕ_…

math.NT2000

Idempotent relations and generalized p-ranks of curves

Amilcar Pacheco

This paper has been superseded by math.NT/0205008