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dc.contributor.authorBalakrishnan, Jenniferen_US
dc.contributor.authorBesser, Amnonen_US
dc.contributor.authorBianchi, Francescaen_US
dc.contributor.authorMueller, J. Steffenen_US
dc.date.accessioned2020-05-01T16:54:14Z
dc.date.available2020-05-01T16:54:14Z
dc.identifier.citationJennifer 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.
dc.identifier.issn0021-2172
dc.identifier.urihttps://hdl.handle.net/2144/40504
dc.description.abstractWe 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.en_US
dc.description.urihttps://arxiv.org/pdf/1910.04653.pdf
dc.format.extent33 pagesen_US
dc.language.isoen_US
dc.publisherSpringer Verlagen_US
dc.relation.ispartofIsrael Journal of Mathematics
dc.subjectGeneral mathematicsen_US
dc.subjectPure mathematicsen_US
dc.subjectApplied mathematicsen_US
dc.titleExplicit quadratic Chabauty over number fieldsen_US
dc.typeArticleen_US
pubs.elements-sourcemanual-entryen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Mathematics & Statisticsen_US
pubs.publication-statusSubmitteden_US
dc.date.online2019
dc.description.oaversionFirst author draft
dc.identifier.mycv522746


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