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Results tagged with ac.commutative-algebra
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user 36661
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
2
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1
answer
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If the quotient of a local ring is regular, does that imply that the original ring must be r...
Suppose $R$ is a local ring and let $I\subset R$ be some nontrivial ideal. Are there conditions that we can place on $I$ so that if $R/I$ is regular, then so is $R$?
I am aware of the result that s …
- 145
2
votes
1
answer
459
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Local blowup versus global blowup
Let $R=k[x_1,..,x_n]/I$ and let $X=Spec(R)$ be it's associated affine scheme. Suppose that $X$ has only one isolated singularity, say at the origin $\mathfrak{m}=\langle x_1,...,x_n\rangle$. Now, le …
- 145