Représentations galoisiennes associées aux points d'ordre $\ell$ des jacobiennes de certaines courbes de genre 2

DOI10.24033/bsmf.2334zbMath0946.14016OpenAlexW146639078MaRDI QIDQ4259728

Pierre le Duff

Publication date: 2 November 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1998__126_4_507_0

zbMATH Keywords

Galois groupfinite ground fieldNéron modelFrobenius endomorphismJacobian of a curve

Mathematics Subject Classification ID

Rational points (14G05) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Jacobians, Prym varieties (14H40) Finite ground fields in algebraic geometry (14G15)

Related Items (4)

Large Galois images for Jacobian varieties of genus 3 curves ⋮ Quadratic twists of abelian varieties and disparity in Selmer ranks ⋮ SYMPLECTIC STABILIZERS WITH APPLICATIONS TO ABELIAN VARIETIES ⋮ Galois Representations and Galois Groups Over ℚ

Cites Work

• On the maximal subgroups of the finite classical groups
• Stable genus 2 curves and their moduli scheme
• Jacobians of some curves of genus 2: torsion and simplicity
• Good reduction of abelian varieties
• Galois properties of points of finite order of elliptic curves
• Néron Models
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• Galois Properties of Division Fields of Elliptic Curves
• Points d'ordre ℓ des jacobiennes de certaines courbes de genre 2
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