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dc.contributor.authorBalakrishnan, Jenniferen_US
dc.contributor.authorBianchi, Francescaen_US
dc.contributor.authorCantoral-Farfan, Victoriaen_US
dc.contributor.authorCiperiani, Mirelaen_US
dc.contributor.authorEtropolski, Anastassiaen_US
dc.coverage.spatialBanff International Research Stationen_US
dc.date2018-10-08
dc.date.accessioned2019-08-28T19:14:34Z
dc.date.available2019-08-28T19:14:34Z
dc.date.issued2018-05-09
dc.identifier.citationJennifer Balakrishnan, Francesca Bianchi, Victoria Cantoral-Farfan, Mirela Ciperiani, Anastassia Etropolski. "Chabauty-Coleman experiments for genus 3 hyperelliptic curves." Women in Numbers 4 (WIN4). Banff International Research Station,
dc.identifier.urihttps://hdl.handle.net/2144/37488
dc.description.abstractWe describe a computation of rational points on genus 3 hyperelliptic curves C defined over ℚ whose Jacobians have Mordell-Weil rank 1. Using the method of Chabauty and Coleman, we present and implement an algorithm in Sage to compute the zero locus of two Coleman integrals and analyze the finite set of points cut out by the vanishing of these integrals. We run the algorithm on approximately 17,000 curves from a forthcoming database of genus 3 hyperelliptic curves and discuss some interesting examples where the zero set includes global points not found in C(ℚ).en_US
dc.description.urihttps://arxiv.org/pdf/1805.03361.pdf
dc.language.isoen_US
dc.publisherSpringer Verlagen_US
dc.subjectNumber theoryen_US
dc.subjectChabauty-Coleman methoden_US
dc.subjectRational pointsen_US
dc.subjectHyperelliptic curvesen_US
dc.subjectMathematicsen_US
dc.titleChabauty-Coleman experiments for genus 3 hyperelliptic curvesen_US
dc.typeConference materialsen_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-statusPublisheden_US
dc.description.oaversionAccepted manuscript
dc.identifier.mycv436485


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