From Jacobians to one-motives: exposition of a conjecture of Deligne

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dc.creatorRamachandran, Niranjan
dc.date2001-02-05
dc.date.accessioned2026-07-07T04:39:59Z
dc.date.available2026-07-07T04:39:59Z
dc.descriptionDeligne has conjectured that certain mixed Hodge theoretic invariants of complex algebraic invariants are motivic. This conjecture specializes to an algebraic construction of the Jacobian for smooth projective curves, which was done by A. Weil. The conjecture (and one-motives) are motivated by means of Jacobians, generalized Jacobians of Rosenlicht, and Serre's generalized Albanese varieties. We discuss the connections with the Hodge and the generalized Hodge conjecture. We end with some applications to number theory by providing partial answers to questions of Serre, Katz and Jannsen.
dc.description19 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0102033
dc.identifierhttp://arxiv.org/abs/math/0102033
dc.identifierThe arithmetic and geometry of algebraic cycles. (Banff, 1998) CRM Proceedings & Lecture Notes, 24., AMS
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60891
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject11Gxx, 14C25, 14C30, 14F99
dc.titleFrom Jacobians to one-motives: exposition of a conjecture of Deligne
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