2003/09/09 by Alexander Polishchuk, Polishchuk, Alexander
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.math/0309160
AMSLatex, 20 pages. The updated version contains the proof of the fact that the relations we found form an ideal
openalex publication_date 2003/09/09 · arxiv created 2003/11/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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.