Hyperelliptic curves with prescribed \(p\)-torsion

DOI10.1007/s00229-005-0559-0zbMath1093.14039arXivmath/0401008OpenAlexW2133818624MaRDI QIDQ2487934

Rachel J. Pries, Darren Glass

Publication date: 17 August 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401008

zbMATH Keywords

\(p\)-rank\(a\)-number

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Coverings of curves, fundamental group (14H30) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (22)

THE BOUNDARY OF THE p-RANK STRATUM OF THE MODULI SPACE OF CYCLIC COVERS OF THE PROJECTIVE LINE ⋮ The p-rank of the reduction mod p of Jacobians and Jacobi sums ⋮ Erratum to: Hyperelliptic curves with prescribed \(p\)-torsion ⋮ Ekedahl-Oort strata on the moduli space of curves of genus four ⋮ Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank ⋮ The \(p\)-rank stratification of Artin-Schreier curves ⋮ The existence of supersingular curves of genus 4 in arbitrary characteristic ⋮ Problems from the Workshop on Automorphisms of Curves ⋮ Fully maximal and fully minimal abelian varieties ⋮ Inverse Galois problem for ordinary curves ⋮ Some remarks on superspecial and ordinary curves of low genus ⋮ The \(p\)-rank strata of the moduli space of hyperelliptic curves ⋮ Fiber products and class groups of hyperelliptic curves ⋮ Construction of hyperelliptic function fields of high three-rank ⋮ Statistics for biquadratic covers of the projective line over finite fields. With an appendix by Alina Bucur ⋮ Curves of given \(p\)-rank with trivial automorphism group ⋮ THE 2-RANKS OF HYPERELLIPTIC CURVES WITH EXTRA AUTOMORPHISMS ⋮ THE p-TORSION OF CURVES WITH LARGE p-RANK ⋮ Newton polygons arising from special families of cyclic covers of the projective line ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request ⋮ The 𝑎-numbers of Jacobians of Suzuki curves ⋮ The essential dimension of congruence covers

Cites Work

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• Idempotent relations and factors of Jacobians
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• Families of wildly ramified covers of curves
• CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Complete subvarieties of moduli spaces and the Prym map
• The first de Rham cohomology group and Dieudonné modules
• The rank of the Cartier operator and linear systems on curves

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