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geometry-topology / Algebraic Geometry, Calabi–Yau Varieties

Counterexample to the Odd-Dimensional Rank Bound for Abelian p-Group Actions

Moraga conjectured, and Kollár and Zhuang recorded, an odd-dimensional extension of the rank bound for faithful abelian $p$-group actions on smooth Calabi–Yau varieties. The paper disproves it.

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geometry-topologyJul 6, 2026Significance 15/100Registry: unreviewed

Counterexample to the Odd-Dimensional Rank Bound for Abelian p-Group Actions

Prior state unknown→disproved

Moraga conjectured, and Kollár and Zhuang recorded, an odd-dimensional extension of the rank bound for faithful abelian $p$-group actions on smooth Calabi–Yau varieties. The paper disproves it.

Source authenticatedCounterexample to the Odd-Dimensional Rank Bound for Abelian p-Group Actions →
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Moraga conjectured, and Kollár and Zhuang recorded, an odd-dimensional extension of the rank bound for faithful abelian $p$-group actions on smooth Calabi–Yau varieties. The paper disproves it.

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