Canonical heights on elliptic curves in characteristic p

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dc.creatorPapanikolas, Matthew A.
dc.date1999-07-02
dc.date2001-06-08
dc.date.accessioned2026-07-07T05:29:46Z
dc.date.available2026-07-07T05:29:46Z
dc.descriptionWe define a new canonical height pairing on the rational points of elliptic curves over global function fields which takes values in the multiplicative group of a completion of the function field. This height serves as an analogue of both the classical Neron-Tate height and analytic p-adic heights. Our main result is that under some general hypotheses this pairing is non-degenerate.
dc.description14 pages; final version
dc.identifierhttps://arxiv.org/abs/math/9907018
dc.identifierhttp://arxiv.org/abs/math/9907018
dc.identifierCompositio Math. 122 (2000), 299-313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78771
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G05, 11G07, 11R58, 14G25
dc.titleCanonical heights on elliptic curves in characteristic p
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