On cohomology of generalized Suzuki curves and exponential sums

DOI10.1016/j.ffa.2023.102309OpenAlexW4387511935MaRDI QIDQ6185627

Takahiro Tsushima

Publication date: 8 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2023.102309

zbMATH Keywords

exponential sumsmaximal curvesnumbers of rational pointsgeneralized Suzuki curve

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Étale and other Grothendieck topologies and (co)homologies (14F20) Trigonometric and exponential sums (general theory) (11L03) Automorphisms of curves (14H37) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

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• La conjecture de Weil. II
• Representations of reductive groups over finite fields
• Elementary abelian \(p\)-extensions of algebraic function fields
• Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. I.
• Zeta functions of a class of Artin-Schreier curves with many automorphisms
• On the Zeta function and the automorphism group of the generalized Suzuki curve
• The de Rham cohomology of the Suzuki curves
• Hunting for Curves with Many Points

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