Lie symmetries of the Chow group of a Jacobian and the tautological subring

2005/04/22 by Alexander Polishchuk, Polishchuk, Alexander
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.math/0504448

AMSLatex, 15 pages

arxiv created 2005/05/04 · arxiv updated 2009/12/01

Abstract

Let J be the Jacobian of a smooth projective curve. We define a natural action of the Lie algebra of polynomial Hamiltonian vector fields on the plane, vanishing at the origin, on the Chow group of J with rational coefficients. Using this action we obtain some relations between tautological cycles on J.

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