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Kaito Kimura

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Preprint Oct 2026

On injective dimension of the conormal module

Let $Q$ be a Gorenstein local ring, let $I$ be a proper ideal of $Q$, and set $R=Q/I$. We investigate when finite injective dimension of the conormal module $I/I^2$ forces $I$ to be generated by a regular sequence. We prove this implication for every ideal in the linkage class of a complete intersection. When $Q$ is re...

Mohsen Gheibi, Kaito Kimura · 0 citations

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