Torsion points on hyperelliptic Jacobians via Anderson's \(p\)-adic soliton theory

DOI10.3836/tjm/1391177978zbMath1287.14014arXiv1111.2973OpenAlexW2963857669MaRDI QIDQ2444953

Yuken Miyasaka, Takao Yamazaki

Publication date: 11 April 2014

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2973

zbMATH Keywords

Sato Grassmanniantheta divisortorsion pointsJacobian varieties

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40)

Cites Work

• Torsion points on curves and p-adic abelian integrals
• Loop groups and equations of KdV type
• Torsion points on Jacobians of quotients of Fermat curves and \(p\)-adic soliton theory
• On the zeta function of a hypersurface. I
• Simple Factors of the Jacobian of a Fermat Curve and the Picard Number of a Product of Fermat Curves
• Simple Factors in the Jacobian of a Fermat Curve
• Examples of torsion points on genus two curves
• The Manin-Mumford Conjecture: A Brief Survey
• Torsion on theta divisors of hyperelliptic Fermat Jacobians
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