Universal algebraic equivalences between tautological cycles on Jacobians of curves

dc.creatorPolishchuk, Alexander
dc.date2003-09-09
dc.date2003-11-20
dc.date.accessioned2026-07-07T05:00:59Z
dc.date.available2026-07-07T05:00:59Z
dc.descriptionWe present a collection of algebraic equivalences between tautological cycles on the Jacobian $J$ of a curve, i.e., cycles in the subring of the Chow ring of $J$ generated by the classes of certain standard subvarieties of $J$. These equivalences are universal in the sense that they hold for all curves of given genus. We show also that they are compatible with the action of the Fourier transform on tautological cycles and compute this action explicitly.
dc.descriptionAMSLatex, 20 pages. The updated version contains the proof of the fact that the relations we found form an ideal
dc.identifierhttps://arxiv.org/abs/math/0309160
dc.identifierhttp://arxiv.org/abs/math/0309160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68518
dc.subjectAlgebraic Geometry
dc.titleUniversal algebraic equivalences between tautological cycles on Jacobians of curves
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