Explicit quadratic Chabauty over number fields
Mueller, J. Steffen
MetadataShow full item record
First author draft
Citation (published version)Jennifer 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.
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 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.