Linear equivalence of ideal topologies
By Irena Swanson. 2000
56 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/ad9c75dd62c72a90a4eecb0f9e022e7c4f4b0e78
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In Algebra and Number Theory
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Quantifying singularities with differential operators (2018, result): “r, we obtain m hµpe0+1ni K ⊆m l(n)+e0i K ⊆Il(n)+e 0 (R) ⊆m[pl(n)] ⊆mn, so the constant C= µpe0+1 suffices. This result should be compared with the linear comparison between ordinary and symbolic powers [Swa00]; see also [HKV09, HKV15]. Connections between strong Fregularity and symbolic powers are not”
- Comparing numerical dimensions (2011, background): “tion 5.3 by several alternatives. Recall that Iq ⊂ Iq ⊂ J(Iq) and by Skoda’s theorem J(Iq) ⊂ Iq−dim(X)+1 for sufficiently large q. Similarly, by the comparison theorems for symbolic powers (for example [Swa00] Theorem 3.1), we have Iq ⊂ I<q> and there is some kindependent of qso that I<kq>”