Computing endomorphism rings of Jacobians of genus 2 curves over finite fields

DOI10.1142/9789812793430_0002zbMath1151.14314arXivmath/0701305OpenAlexW2012198296MaRDI QIDQ3545345

No author found.

Publication date: 10 December 2008

Published in: Algebraic Geometry and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701305

zbMATH Keywords

probabilistic algorithmsaction of Frobeniuscomputing of the field of definitionendomorphism ring of the Jacobianimplementation of Eisenträger and Lauter's algorithm for computing Igusa class polynomialssubgroups for prime powers

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Finite ground fields in algebraic geometry (14G15) Applications to coding theory and cryptography of arithmetic geometry (14G50) Randomized algorithms (68W20)

Related Items (8)

On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\) ⋮ Subrings of \(p\)-power index in endomorphism rings of simple abelian varieties over finite fields ⋮ Constructing Picard curves with complex multiplication using the Chinese remainder theorem ⋮ The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions. I ⋮ On the \({\ell}\)-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\) ⋮ Isogeny graphs of ordinary abelian varieties ⋮ Pairing the volcano ⋮ Dynamics on abelian varieties in positive characteristic

This page was built for publication: Computing endomorphism rings of Jacobians of genus 2 curves over finite fields