The asymptotic behavior of solid closure in mixed characteristic

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dc.creatorSchoutens, Hans
dc.date2004-09-30
dc.date.accessioned2026-07-07T05:12:45Z
dc.date.available2026-07-07T05:12:45Z
dc.descriptionWe study how solid closure in mixed characteristic behaves after taking ultraproducts. The ultraproduct will be chosen so that we land in equal characteristic, and therefore can make a comparison with tight closure. As a corollary we get an asymptotic version of the Hochster-Roberts invariant theorem in dimension three: if $R$ is a mixed characteristic (cyclically) pure 3-dimensional local subring of a regular local ring $S$, then $R$ is Cohen-Macaulay, provided the ramification of $S$ is large with respect to its dimension and residual characteristic, and with respect to the multiplicity of $R$.
dc.identifierhttps://arxiv.org/abs/math/0409608
dc.identifierhttp://arxiv.org/abs/math/0409608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72696
dc.subjectCommutative Algebra
dc.subject13A35; 13D22
dc.titleThe asymptotic behavior of solid closure in mixed characteristic
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