Abstract
Let J be the Jacobian of a smooth projective complex curve C which admits non-trivial automorphisms, and let \(\mathrm{{A}}(J)\) be the ring of algebraic cycles on J with rational coefficients modulo algebraic equivalence. We present new tautological rings in \(\mathrm{{A}}(J)\) 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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Acknowledgements
This article is part of my thesis written at the University of Strasbourg. I would like to thank my Ph.D. advisor Professor Rutger Noot for his continual support and numerous suggestions which contributed to the improvement of this paper. I also want to thank the referee for his comments which helped me to reduce the length of this paper.
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Richez, T. Tautological rings on Jacobian varieties of curves with automorphisms. Geom Dedicata 194, 1–28 (2018). https://doi.org/10.1007/s10711-017-0262-9
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DOI: https://doi.org/10.1007/s10711-017-0262-9