Torsion points on Jacobians of quotients of Fermat curves and \(p\)-adic soliton theory

DOI10.1007/BF01231542zbMath0838.14020MaRDI QIDQ1340636

Greg W. Anderson

Publication date: 3 June 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144245

zbMATH Keywords

Laurent serieshomothety classes\(p\)-adic \(\tau\)-formalism\(p\)-adic solitonJacobians of quotients of Fermat curvesKrichever pairSato \(\tau\)-functionTheta divisor

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for abelian varieties (14K15)

Related Items (5)

Torsion points of small order on hyperelliptic curves ⋮ Torsion points on hyperelliptic Jacobians via Anderson's \(p\)-adic soliton theory ⋮ The cuspidal torsion packet on hyperelliptic Fermat quotients ⋮ Integrable systems and number theory in finite characteristic ⋮ An alternate approach to solitons for \(\mathbb F_q [t\)]

Cites Work

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• Torsion points on curves and p-adic abelian integrals
• On the even-order vanishing of Jacobian theta functions
• Loop groups and equations of KdV type
• Rank one elliptic \(A\)-modules and \(A\)-harmonic series
• On the zeta function of a hypersurface. I
• Torsion Points on Abelian Etale Coverings of P 1 - {0, 1, ∞}
• An Application of the Power Residue Theory to Some Abelian Functions

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