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Results tagged with ac.commutative-algebra
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user 68861
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
-1
votes
Equidimensionality of stalks of $\operatorname{Proj} S$ when $S$ is equidimensional.
Here is a counter example. Set $S_0 = k[x]$ where $k$ is a field. Let $S = S_0[Y, Z, W]/(xY, xZ)$ with $Y$, $Z$, $W$ in degree $1$. Then $X = \text{Proj}(S)$ is the union of a copy of $\text{Spec}(S_0 …
1
vote
Reference for a lemma on étale maps
As a historical remark, I learned this lemma from Roland Huber. A possible answer is that it can be found in the adic spaces setting as Proposition 1.7.1 in Huber's book \'Etale Cohomology of Rigid an …