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Results tagged with ac.commutative-algebra
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user 45285
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
2
votes
Under the condition specified below, is $\mathcal{O}_X(X-V(I))=R$, where $X=\mathrm{Spec}R$?
I think that one could also prove this with weaker tools than Serre's criterion for normality. That is, consider the restriction map
$$ \mathcal{O}(X) \longrightarrow \mathcal{O}(X\setminus V(I)) $$
t …
- 577
8
votes
0
answers
486
views
Curvilinear locus in the Hilbert scheme of points
Let $X$ be a smooth complex projective variety of dimension $d$. Then the Hilbert scheme of $n$ points $X^{[n]}$ is not irreducible in general, but it has always the main component $X^{[n]}_{sm}$ of s …
- 577
3
votes
1
answer
220
views
Alternating multisymmetric functions
I am looking for a reference on certain modules of invariants. I think that the question is quite natural so that I believe there should be some results already, but I am not able to find anything.
…
- 577