Indecomposable Higher Chow Cycles on Low Dimensional Jacobians

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dc.creatorCollino, Alberto
dc.date1999-09-12
dc.date.accessioned2026-07-07T05:30:44Z
dc.date.available2026-07-07T05:30:44Z
dc.descriptionTitle: Indecomposable Higher Chow Cycles on Low Dimensional Jacobians Authors: Alberto Collino Comments: AMS-TeX, 10 pages Subj-class: Algebraic Geometry MSC-class: 14C30 ;19E15 There is a basic indecomposable higher cycle K in Bloch's higher Chow group CH^{g}(J(C),1) on the Jacobian J(C) of a general hyperelliptic curve C of genus g. Consider K(t) the translation of K associated with a point t in C, we prove that in general K - K(t) is indecomposable if the genus is at least 3. Our tool is Lewis' condition for indecomposability. We show next that on the jacobian J(C) of a general curve C of genus 3 there is a geometrically natural family of higher cycles, when C becomes hyperelliptic the family in the limit contains a component of indecomposable cycles of type K - K(t).
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/9909062
dc.identifierhttp://arxiv.org/abs/math/9909062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79088
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject14C30; 19E15
dc.titleIndecomposable Higher Chow Cycles on Low Dimensional Jacobians
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