Homology of powers of regular ideals

Details Homology of powers of regular ideals Homology of powers of regular ideals

2003-08-27

arxiv.org/abs/math/0308263v1

Mathematics

Commutative Algebra

11 pages

Scientific paper

For a commutative ring R with an ideal I, generated by a finite regular sequence, we construct differential graded algebras which provide R-free resolutions of I^s and of R/I^s for s>0 and which generalise the Koszul resolution. We derive these from a certain multiplicative double complex. By means of a Cartan-Eilenberg spectral sequence we express Tor_*^R(R/I,R/I^s) and Tor_*^R(R/I, I^s) in terms of exact sequences and find that they are free as R/I-modules. Except for R/I, their product structure turns out to be trivial; instead, we consider an exterior product. The paper is based on ideas by Andrew Baker; it is written in view of applications to algebraic topology.

Affiliated with

Also associated with

No associations

Rating

Homology of powers of regular ideals 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 Homology of powers of regular ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homology of powers of regular ideals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-678828