Balakrishnan, JenniferBesser, AmnonBianchi, FrancescaMueller, J. Steffen2020-05-012020-05-01Jennifer Balakrishnan, Amnon Besser, Francesca Bianchi, J Steffen Mueller. "Explicit quadratic Chabauty over number fields." Israel Journal of Mathematics. https://arxiv.org/pdf/1910.04653.pdf.0021-2172https://hdl.handle.net/2144/40504We 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 classical Chabauty with equations defined in terms of p-adic heights attached to independent continuous idele class characters. We give several examples to show the practicality of our methods.33 pagesen-USGeneral mathematicsPure mathematicsApplied mathematicsArticle522746