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Results tagged with ac.commutative-algebra
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user 496941
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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Completeness of formal power series rings over various linearly topologized commutative rings
Let $R$ be a commutative ring and fix an ideal $I\subseteq R$, such that $R$ is complete with respect to the $I$-adic topology. When is a formal power series ring $R[[X_{1},\dots,X_{d}]]$ over $R$ com …
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Why is Fontaine's infinitesimal period ring $A_{\text{inf}}$ complete?
Fix a perfectoid field $K$ in mixed characteristic with ring of integers $\mathcal{O}$ and pseudo-uniformizer $\varpi$. Its tilt is the fraction field of $\mathcal{O}^{\flat}=\varprojlim_{x\mapsto x^{ …
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On the Erratum to P. Scholze's "$p$-adic Hodge theory for rigid-analytic varieties"
I am trying to understand section (3) of the Erratum to P. Scholze's "$p$-adic Hodge theory for rigid-analytic varieties" in detail. In particular, there is the following sentence on page two that I d …
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