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

Jihao Liu; Yanze Wang

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

Algebraic Geometry 2026-07-06 v1

Authors: Jihao Liu , Yanze Wang

Abstract

We disprove the odd-dimensional extension, conjectured by Moraga and recorded by Koll\'ar 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.

Keywords

abelian p-group actions Calabi-Yau varieties rank bound counterexample odd-dimensional

Cite

@article{arxiv.2607.04891,
  title  = {A counterexample to the odd-dimensional rank bound for abelian \texorpdfstring{$p$}{p}-group actions},
  author = {Jihao Liu and Yanze Wang},
  journal= {arXiv preprint arXiv:2607.04891},
  year   = {2026}
}

Comments

4 pages. Mostly AI-generated, human-verified