Quadratic integral solutions to double Pell equations

Veneziano, Francesco. (2011) Quadratic integral solutions to double Pell equations. Rendiconti del Seminario Matematico della Università di Padova, 126. pp. 47-61.

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We study the quadratic integral points - that is, (S-)integral points defined over any extension of degree two of the base field - on a curve defined in P_3 by a system of two Pell equations. Such points belong to three families explicitly described, or belong to a finite set whose cardinality may be explicitly bounded in terms of the base field, the equations defining the curve and the set S. We exploit the peculiar geometry of the curve to adapt the proof of a theorem of Vojta, which in this case does not apply.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger)
UniBasel Contributors:Veneziano, Francesco
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Libreria Internazionale Cortina
Note:Publication type according to Uni Basel Research Database: Journal article
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edoc DOI:
Last Modified:05 Oct 2017 09:30
Deposited On:19 Apr 2016 09:21

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