Effective cycles on the symmetric product of a curve, I: the diagonal cone. (with an appendix by Ben Moonen)

Francesco Bastianelli, Alexis Kouvidakis, Angelo Felice Lopez +1

In this paper and in its sequel [BKLV], we investigate the cone ${\mathrm{Pseff}}_n(C_d)$ of pseudoeffective $n$-cycles in the symmetric product $C_d$ of a smooth curve $C$. In the pres…