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arXiv · 1611.10153

Tautological rings on Jacobian varieties of curves with automorphisms

Thomas Richez
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Abstract

Let $J$ be the Jacobian of a smooth projective complex curve $C$ which admits non-trivial automorphisms, and let $A(J)$ be the ring of algebraic cycles on $J$ with rational coefficients modulo algebraic equivalence. We present new tautological rings in $A(J)$ which extend in a natural way the tautological ring studied by Beauville (Compos Math 140(3):683-688, 2004). We then show there exist tautological rings induced on special complementary abelian subvarieties of $J$.

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Thomas Richez. 2016-11-30. Tautological rings on Jacobian varieties of curves with automorphisms. https://doi.org/10.1007/s10711-017-0262-9

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