Families of supersingular curves in characteristic 2

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dc.creatorScholten, Jasper
dc.creatorZhu, Hui June
dc.date2001-12-09
dc.date.accessioned2026-07-07T04:45:07Z
dc.date.available2026-07-07T04:45:07Z
dc.descriptionThis paper determines the normal forms of hyperelliptic supersingular curves of genus g over an algebraically closed field F of characteristic 2 for 0 < g< 9. We also show that every hyperelliptic supersingular curve of genus 9 over F has an equation y^2-y=x^19+c^8x^9+c^3x for some c in F_2bar. The paper determines the dimensions of the open locus of hyperelliptic supersingular curves of genus g < 10 over F_2bar.
dc.description11 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0112086
dc.identifierhttp://arxiv.org/abs/math/0112086
dc.identifierMathematical Research Letters 9 (2002), no. 5-6, 639-650.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62851
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleFamilies of supersingular curves in characteristic 2
dc.typetext

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