THE p-TORSION OF CURVES WITH LARGE p-RANK

DOI10.1142/S1793042109002560zbMath1195.11081arXivmath/0601596OpenAlexW2131728638MaRDI QIDQ3644244

Rachel J. Pries

Publication date: 3 November 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601596

zbMATH Keywords

moduli spacesalgebraic curvesJacobiansa-numberp-torsionp-rank

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Complex multiplication and moduli of abelian varieties (11G15) Arithmetic ground fields for abelian varieties (14K15)

Related Items (7)

Ekedahl-Oort strata on the moduli space of curves of genus four ⋮ Newton Polygons of Cyclic Covers of the Projective Line Branched at Three Points ⋮ Unnamed Item ⋮ A bound on the genus of a curve with Cartier operator of small rank ⋮ Unnamed Item ⋮ Newton polygons arising from special families of cyclic covers of the projective line ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request

Cites Work

• Unnamed Item
• Non-hyperelliptic curves of genus three over finite fields of characteristic two
• Intersection theory on algebraic stacks and on their moduli spaces
• On the Jacobian varieties of hyperelliptic curves over fields of characteristic \(p>2\)
• Hyperelliptic curves of genus three over finite fields of even characteristic
• On the tautological ring of \(\mathcal{M}_ g\)
• Hyperelliptic curves with prescribed \(p\)-torsion
• Hyperelliptic curves over 𝔽₂ of every 2-rank without extra automorphisms
• The rank of the Cartier operator and linear systems on curves

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