Journal of Algebraic Geometry

Author(s): A. Polishchuk
Journal: J. Algebraic Geom. 16 (2007), 459-476.
Posted: June 21, 2006
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Abstract: Let

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 $\operatorname{CH}(J)_{\mathbb{Q}}$ . Using this action we obtain some relations between tautological cycles in $\operatorname{CH}(J)_{\mathbb{Q}}$ .

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