The characteristic polynomials of Abelian varieties of dimensions 3 over finite fields

DOI10.1016/j.jnt.2010.06.008zbMath1200.14045arXiv1003.0374OpenAlexW2963686199MaRDI QIDQ710510

Safia Haloui

Publication date: 19 October 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0374

zbMATH Keywords

Newton polygonfinite fieldabelian varietycharacteristic polynomial

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Polynomials in number theory (11C08) Finite ground fields in algebraic geometry (14G15) Varieties over finite and local fields (11G25)

Related Items (10)

The characteristic polynomials of abelian varieties of higher dimension over finite fields ⋮ Large Galois images for Jacobian varieties of genus 3 curves ⋮ Weil polynomials of abelian varieties over finite fields with many rational points ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ A census of zeta functions of quartic K surfaces over ⋮ Classification of characteristic polynomials of simple supersingular abelian varieties over finite fields ⋮ Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields ⋮ Computing abelian varieties over finite fields isogenous to a power ⋮ CHARACTERISTIC POLYNOMIALS OF SIMPLE ORDINARY ABELIAN VARIETIES OVER FINITE FIELDS ⋮ Spanning the isogeny class of a power of an elliptic curve

Cites Work

• Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2
• On the \(p\)-rank of an abelian variety and its endomorphism algebra
• The characteristic polynomials of abelian varieties of dimensions three and four over finite fields
• Abelian Surfaces over Finite Fields as Jacobians
• Abelian varieties over finite fields
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