Mitsuyasu Hashimoto

collaborators

Showing math.ACShow all

3 papers · 1 filter

math.AC2025

Acyclicity test of complexes modulo Serre subcategories using the residue fields

Mitsuyasu Hashimoto, Xi Tang

Let $R$ be a commutative noetherian ring, and let $S$ (resp. $L$ ) be a Serre(resp. localizing) subcategory of the category of $R$ -modules. If $F$ is an unbo…

math.AC2023

Frobenius representation type for invariant rings of finite groups

Mitsuyasu Hashimoto, Anurag K. Singh

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 representati…

math.AC2023

The symmetry of finite group schemes, Watanabe type theorem, and the $a$ -invariant of the ring of invariants

Mitsuyasu Hashimoto

Let $k$ be a field, and $G$ be a $k$ -group scheme of finite type. Let $G_{ad}$ be the $k$ -scheme $G$ with the adjoint action of $G$ . We call $λ_{G,G}=H^0(\mathop{\mathrm{S…

Acyclicity test of complexes modulo Serre subcategories using the residue fields

Frobenius representation type for invariant rings of finite groups

The symmetry of finite group schemes, Watanabe type theorem, and the a-invariant of the ring of invariants

The symmetry of finite group schemes, Watanabe type theorem, and the $a$ -invariant of the ring of invariants