Author

Filippo Belfiori

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Preprint Sep 2026

An equivariant version of Gabber's lemma

Let $G$ be a finite abelian group, and let $k$ be an infinite perfect field containing a primitive root of unity of order the exponent of $G$. We prove that the $G$-equivariant version of Gabber's presentation lemma proposed by Bachmann holds over $k$ if and only if $G$ is cyclic of $p$-power order, for some prime $p$.

Filippo Belfiori · 0 citations