3 citations · 7 across the 6 of their papers we have counts for
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math.AC2022★ 3 cited
Local log-regular rings vs. toric rings
Shinnosuke Ishiro
Local log-regular rings are a certain class of Cohen-Macaulay local rings that are treated in logarithmic geometry. Our paper aims to provide purely commutative ring theoretic proo…
math.AC2022★ 3 cited
Perfectoid towers and their tilts : with an application to the étale cohomology groups of local log-regular rings
Shinnosuke Ishiro, Kei Nakazato, Kazuma Shimomoto
To initiate a systematic study on the applications of perfectoid methods to Noetherian rings, we introduce the notions of perfectoid towers and their tilts. We mainly show that the…