Author

Justin Lyle

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Preprint Sep 2026

Frobenius multiplicities and F-signatures of Grassmannians of two-planes

Raedschelders, \v{S}penko and Van den Bergh proved that the Pl\"{u}cker coordinate ring $C_n$ of the Grassmannian $\operatorname{Gr}(2,n)$ has finite Frobenius representation type when the characteristic $p$ satisfies $p\ge\max\{n-2,3\}$, and they determined the indecomposable summands of its Frobenius pushforwards up...

Justin Lyle · 0 citations

Preprint Sep 2026

A counterexample to the localization problem for AB rings

We construct a complete local Gorenstein ring $R$ of dimension $1$ with a prime ideal $\mathfrak{p}\in \operatorname{Spec}(R)$ such that $R$ is an AB ring, but the localization $R_{\mathfrak{p}}$ is not an AB ring. This settles the localization problem for AB rings posed by Huneke and Jorgensen in the negative.

Justin Lyle, Saeed Nasseh · 0 citations