Zeta functions of a class of Artin-Schreier curves with many automorphisms

DOI10.1007/978-3-319-30976-7_4zbMath1378.14025arXiv1410.7031OpenAlexW9979310MaRDI QIDQ2405232

Wei Ho, Irene I. Bouw, Beth Malmskog, Padmavathi Srinivasan, Renate Scheidler, Christelle Vincent

Publication date: 22 September 2017

Full work available at URL: https://arxiv.org/abs/1410.7031

zbMATH Keywords

zeta functionextraspecial groupsmaximal curvesArtin-Schreier curves

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Automorphisms of curves (14H37)

Related Items (8)

Trace formulae for actions of finite unitary groups on cohomology of Artin-Schreier varieties ⋮ On cohomology of generalized Suzuki curves and exponential sums ⋮ Gauss sums and Van der Geer–Van der Vlugt curves ⋮ Fully maximal and fully minimal abelian varieties ⋮ Divisibility of L-polynomials for a family of Artin-Schreier curves ⋮ New examples of maximal curves with low genus ⋮ Bound on the order of the decomposition groups of an algebraic curve in positive characteristic ⋮ On the Zeta function and the automorphism group of the generalized Suzuki curve

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