Division by on odd-degree hyperelliptic curves and their Jacobians

DOI10.1070/IM8773zbMath1419.14044arXiv1809.03061OpenAlexW2949649232WikidataQ128697468 ScholiaQ128697468MaRDI QIDQ4966876

Yuri G. Zarhin

Publication date: 28 June 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03061

zbMATH Keywords

hyperelliptic curvesJacobianstorsion pointsWeierstrass points

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Other nonalgebraically closed ground fields in algebraic geometry (14G27)

Related Items (6)

Torsion points of small order on hyperelliptic curves ⋮ Weierstrass semigroups from cyclic covers of hyperelliptic curves ⋮ On the number of points of given order on odd-degree hyperelliptic curves ⋮ Torsion points of order 2𝑔+1 on odd degree hyperelliptic curves of genus 𝑔 ⋮ Pell-Abel equation and applications ⋮ Diophantine tuples over $\mathbb {Z}_p$

Cites Work

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• Most odd degree hyperelliptic curves have only one rational point
• Courbes sur une variété abélienne et points de torsion
• 2-descent on the Jacobians of hyperelliptic curves
• Images of 2-adic representations associated to hyperelliptic Jacobians
• 5-TORSION POINTS ON CURVES OF GENUS 2
• Examples of torsion points on genus two curves
• Chabauty Without the Mordell-Weil Group
• Division by $2$ of rational points on elliptic curves
• Towers of 2-covers of hyperelliptic curves
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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