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math.AC2024
Finite generation of split F-regular monoid algebras
Rankeya Datta, Karl Schwede, Kevin Tucker
Let be a submonoid of a free Abelian group of finite rank. We show that if is a field of prime characteristic such that the monoid -algebra is split -regular,…
math.AG2024
Test ideals in mixed characteristic: a unified theory up to perturbation
Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +5
Let be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inver…