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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 $ℓ$ .

Algèbres de groupe du groupe additif

Henri Gaudier (1989)

Bulletin de la Société Mathématique de France

An effective Bertini theorem over finite fields.

Ballico, E. (2003)

Advances in Geometry

An explicit factorisation of the zeta functions of Dwork hypersurfaces

Philippe Goutet (2010)

Acta Arithmetica

An injective rational map of an abstract algebraic variety into itself.

Moshe Jarden (1974)

Journal für die reine und angewandte Mathematik

An iterative construction for ordinary and very special hyperelliptic curves

Francis J. Sullivan (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si costruiscono famiglie di curve iperellittiche col $p$ —rango della varietà jacobiana uguale a zero. La costruzione sfrutta le proprietà elementari dell’operatore di Cartier e delle estensioni $p$ -cicliche dei corpi con la caratteristica $p$ maggiore di zero.

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A construction of curves over finite fields

A Diophantine problem on algebraic curves over function fields of positive characteristic

A fixed point formula for varieties over finite fields.

A formula for the Cartier operator on plane algebraic curves.

A Gauss-Bonnet theorem for motivic cohomology.

A note on elliptic curves over finite fields

A note on Enriques' surfaces in characteristic 2

A septic with 99 real nodes

A Short Proof of the Rydakov-Safarevic Theorem.

A souped-up version of Pardini's theorem and its application to funny curves

Abelian surfaces and jacobian varieties over finite fields

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

Algèbres de groupe du groupe additif

An effective Bertini theorem over finite fields.

An explicit factorisation of the zeta functions of Dwork hypersurfaces

An injective rational map of an abstract algebraic variety into itself.

An iterative construction for ordinary and very special hyperelliptic curves

Arakelov's Theorem for Abelian Varieties.

Arrangements d'hyperplans et sommes de Gauss

Automorphism groups of Ree type Deligne-Lusztig curves and function fields.

Currently displaying 1 – 20 of 218