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5 votes

Zero dimensional complete intersection ring of length a power of $p$

Let $k$ be perfect of characteristic $p$, and let $C=k[X_1,\dots,X_n]/(f_1,\dots,f_n)$ be a complete intersection of dimension a power of $p$. I'm assuming that when you write $k[C^p]=k$, you mean tha …
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