The asymptotic behavior of solid closure in mixed characteristic

Details The asymptotic behavior of solid closure in mixed characteristic The asymptotic behavior of solid closure in mixed characteristic

2004-09-30

arxiv.org/abs/math/0409608v1

Mathematics

Commutative Algebra

Scientific paper

We 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 $R$.

Affiliated with

Also associated with

No associations

Rating

The asymptotic behavior of solid closure in mixed characteristic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The asymptotic behavior of solid closure in mixed characteristic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The asymptotic behavior of solid closure in mixed characteristic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-593484