Continuous closure of sheaves

Details Continuous closure of sheaves Continuous closure of sheaves

2010-10-26

arxiv.org/abs/1010.5480v1

Mathematics

Commutative Algebra

Scientific paper

We give a purely algebraic construction of the continuous closure of any finitely generated torsion free module; a concept first studied by H.~Brenner and M.~Hochster. The construction implies that, at least in characteristic 0, taking continuous closure commutes with flat morphisms whose fibers are semi-normal. This implies that the continuous closure of a coherent ideal sheaf is again a coherent ideal sheaf (both in the Zariski and in the \'etale topologies) and it commutes with field extensions.

Affiliated with

Also associated with

No associations

Rating

Continuous closure of sheaves 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 Continuous closure of sheaves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Continuous closure of sheaves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-160056