Explicit quadratic Chabauty over number fields

We generalize the explicit quadratic Chabauty techniques for integral points on odd degree hyperelliptic curves and for rational points on genus 2 bielliptic curves to arbitrary number fields using restriction of scalars. This is achieved by combining equations coming from Siksek’s extension of clas...

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Veröffentlicht in:	Israel journal of mathematics 2021-06, Vol.243 (1), p.185-232
Hauptverfasser:	Balakrishnan, Jennifer S., Besser, Amnon, Bianchi, Francesca, Müller, J. Steffen
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Group Theory and Generalizations Mathematical analysis Mathematical and Computational Physics Mathematics Mathematics and Statistics Number theory Scalars Theoretical
Online-Zugang:	Volltext
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