Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank

DOI10.1016/j.laa.2013.06.012zbMath1309.14024arXiv1202.4183OpenAlexW2027455602MaRDI QIDQ2435476

Shawn Farnell, Rachel J. Pries

Publication date: 19 February 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4183

zbMATH Keywords

JacobianCartier operator\(a\)-numberArtin-Schreier curveCartier-Manin matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Linear transformations, semilinear transformations (15A04) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (6)

The \(a\)-numbers of Fermat and Hurwitz curves ⋮ \(a\)-numbers of curves in Artin-Schreier covers ⋮ Realizing Artin-Schreier covers with minimal \(a\)-numbers in positive characteristic ⋮ Holomorphic differentials of generalized Fermat curves ⋮ Curves in characteristic \(2\) with non-trivial \(2\)-torsion ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request

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