Kloosterman sums and the \(p\)-torsion of certain Jacobians

DOI10.1007/BF01459260zbMath0731.14014MaRDI QIDQ807693

Marcel van der Vlugt, Gerard van der Geer

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164833

zbMATH Keywords

Kloosterman sumisogeny decomposition of the Jacobiansnumber of points of algebraic curve over finite fieldnumber of points of Jacobianp-torsion of class groups

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Jacobians, Prym varieties (14H40) Exponential sums (11T23) Finite ground fields in algebraic geometry (14G15) Gauss and Kloosterman sums; generalizations (11L05)

Related Items

Generalized Artin-Mumford curves over finite fields, The 2-primary class group of certain hyperelliptic curves, On classical Kloosterman sums, On divisibility of exponential sums of polynomials of special type over fields of characteristic 2, On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients, Some congruences of Kloosterman sums and their characteristic polynomials, Ternary Kloosterman sums modulo 4, Trace codes and families of algebraic curves, On Kloosterman sums over finite fields of characteristic 3, Large \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\), Bounds on special values of \(L\)-functions of elliptic curves in an Artin-Schreier family, An efficient deterministic test for Kloosterman sum zeros, A characterization of the Artin-Mumford curve

Cites Work

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