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math.AG2025
Equidimensional morphisms onto splinters are pure
Takumi Murayama
We prove that a Noetherian ring is a splinter if and only if for every equidimensional surjective morphism , the map $R \to S…
math.AC2025
Finiteness of associated primes for local cohomology modules of excellent locally unramified regular rings of finite Krull dimension
Takumi Murayama
Thirty years ago, Huneke (for local rings) and Lyubeznik (in general) conjectured that for all regular rings , the local cohomology modules have finitely many associa…