On the number of points on abelian and Jacobian varieties over finite fields

DOI10.4064/aa160-3-1zbMath1288.11061arXiv1201.4967OpenAlexW2046337540MaRDI QIDQ5891161

Gilles Lachaud, Yves Aubry, Safia Haloui

Publication date: 11 September 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris, Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4967

zbMATH Keywords

Jacobianzeta functioncurves over finite fieldsabelian surfacesAbelian varieties over finite fields

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over finite and local fields (11G25)

Related Items (5)

Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud ⋮ ON THE NUMBER OF RATIONAL POINTS ON PRYM VARIETIES OVER FINITE FIELDS ⋮ Weil polynomials of abelian varieties over finite fields with many rational points ⋮ Estimates for the number of rational points on simple abelian varieties over finite fields ⋮ On the number of rational points of Jacobians over finite fields

Cites Work

• Curves of every genus with many points. II: Asymptotically good families
• Zur Theorie der elementaren Mittel
• Jacobians in isogeny classes of abelian surfaces over finite fields
• Nombre de points des jacobiennes sur un corps fini
• NUMBER OF POINTS OF PRYM VARIETIES OVER FINITE FIELDS

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