Frobenius representation type for invariant rings of finite groups

M Hashimoto, AK Singh - Advances in Mathematics, 2024 - Elsevier
Let V be a finite rank vector space over a perfect field of characteristic p> 0, and let G be a
finite subgroup of GL (V). If V is a permutation representation of G, or more generally a …

On Segre Products, F-regularity, and Finite Frobenius Representation Type

AK Singh, K Watanabe - Acta Mathematica Vietnamica, 2024 - Springer
We study the behavior of various properties of commutative Noetherian rings under Segre
products, with a special focus on properties in positive prime characteristic defined using the …

A Formalism of F-modules for Rings with Complete Local Finite F-Representation Type

E Quinlan-Gallego - International Mathematics Research Notices, 2024 - academic.oup.com
We develop a formalism of unit-modules in the style of Lyubeznik and Emerton-Kisin for
rings that have finite-representation type after localization and completion at every prime …