Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

Abelian varieties over finite fields with a specified characteristic polynomial modulo $ℓ$

Joshua Holden — 2004

Journal de Théorie des Nombres de Bordeaux

We estimate the fraction of isogeny classes of abelian varieties over a finite field which have a given characteristic polynomial $P (T)$ modulo $ℓ$ . As an application we find the proportion of isogeny classes of abelian varieties with a rational point of order $ℓ$ .

Notes on an analogue of the Fontaine-Mazur conjecture

Jeffrey D. Achter; Joshua Holden — 2003

Journal de théorie des nombres de Bordeaux

We estimate the proportion of function fields satisfying certain conditions which imply a function field analogue of the Fontaine-Mazur conjecture. As a byproduct, we compute the fraction of abelian varieties (or even jacobians) over a finite field which have a rational point of order $ℓ$ .

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 2 of 2

Abelian varieties over finite fields with a specified characteristic polynomial modulo ℓ

Notes on an analogue of the Fontaine-Mazur conjecture

Abelian varieties over finite fields with a specified characteristic polynomial modulo $ℓ$