Tautological rings on Jacobian varieties of curves with automorphisms

Autor: Richez, Thomas
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s10711-017-0262-9
Popis: 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 $J$.
Comment: Accepted version (27 pages)
Databáze: arXiv