Zeta functions of supersingular curves of genus 2

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dc.creatorMaisner, Daniel
dc.creatorNart, Enric
dc.date2004-08-27
dc.date.accessioned2026-07-07T05:11:36Z
dc.date.available2026-07-07T05:11:36Z
dc.descriptionWe determine what isogeny classes of supersingular abelian surfaces over a finite field k of characteristic 2 contain jacobians. We deal with this problem in a direct way by computing explicitly the zeta function of all supersingular curves of genus 2. Our procedure is constructive, so that we are able to exhibit curves with prescribed zeta function and to count the number of curves, up to k-isomorphism, leading to the same zeta function.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0408383
dc.identifierhttp://arxiv.org/abs/math/0408383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72301
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G20; 14G15
dc.titleZeta functions of supersingular curves of genus 2
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