On the Iitaka volumes of log canonical surfaces and threefolds

Guodu Chen, Jingjun Han, Wenfei Liu

Given positive integers $d\ge \kappa$, and a subset $\Gamma \subset [0,1]$, let ${\mathrm{Ivol}}_{\mathrm{lc}}^{\Gamma }(d,\kappa )$ denote the set of Iitaka volumes of $d$-dimensional projective log canonic…