An improvement of the Hasse-Weil-Serre bound for curves over some finite fields

DOI10.1016/j.ffa.2014.06.003zbMath1307.14038OpenAlexW1969704741MaRDI QIDQ405958

Alexey Zaytsev

Publication date: 8 September 2014

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2014.06.003

zbMATH Keywords

curves over finite fieldsmaximal and minimal curvesthe Hasse--Weil--Serre bound

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic ground fields for curves (14H25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Idempotent relations and factors of Jacobians
• Classification of Hermitian forms with the neighbour method
• On the group of automorphisms of a function field of genus at least two
• Variétés abeliennes ordinaires sur un corps fini
• Abschätzung der Automorphismenzahl von Funktionenkörpern bei Primzahlcharakteristik
• Optimal curves of genus <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>1</mml:mn></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>2</mml:mn></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>3</mml:mn></mml:math>
• p-Ranks and Automorphism Groups of Algebraic Curves
• Principally Polarized Ordinary Abelian Varieties Over Finite Fields
• Abelian varieties over finite fields
• On a Theorem of Torelli