Local log-regular rings vs. toric rings

Published 11 Sep 2022 in math.AC | (2209.04828v4)

Abstract: 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 proof of some ring-theoretic properties of local log-regular rings such as an explicit description of a canonical module, and the finite generation of the divisor class group.

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Shinnosuke Ishiro

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