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

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

2005-04-22

arxiv.org/abs/math/0504448v3

Mathematics

Algebraic Geometry

AMSLatex, 15 pages

Scientific paper

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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