A counterexample to the odd-dimensional rank bound for abelian \texorpdfstring{$p$}{p}-group actions

We disprove the odd-dimensional extension, conjectured by Moraga and recorded by Kollár and Zhuang, of the rank bound for faithful abelian $p$-group actions on smooth Calabi–Yau varieties. The main result of this paper was obtained by ChatGPT 5.5 pro, and the Danus system based on the Rethlas system.