Generalized Jacobians and Pellian polynomials

DOI10.5802/jtnb.909zbMath1330.14046OpenAlexW2567067810MaRDI QIDQ888179

Daniel Bertrand

Publication date: 4 November 2015

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2015__27_2_439_0/

zbMATH Keywords

Manin-Mumford conjecturegeneralized Jacobiansaffine singular curvespolynomial Pell equations

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) [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 (2)

Unlikely intersections of curves with algebraic subgroups in semiabelian varieties ⋮ Relative Manin–Mumford in additive extensions

Cites Work

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• Twists and generalized Zolotarev polynomials.
• Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn)
• Torsion points on families of products of elliptic curves
• Théorie de Hodge. III
• Torsion points on elliptic curves in Weierstrass form
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
• Unlikely Intersections and Pell’s Equations in Polynomials
• Relative Manin–Mumford for Semi-Abelian Surfaces
• Albanese and Picard 1-motives
• Sur le groupe des classes d’un schéma arithmétique
• Néron Models
• POLYNOMIAL SOLUTIONS OF PELL'S EQUATION AND FUNDAMENTAL UNITS IN REAL QUADRATIC FIELDS
• On some problems of the arithmetical theory of continued fractions II

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