Bockstein homomorphisms in local cohomology

Mathematics – Commutative Algebra

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

Let $R$ be a polynomial ring in finitely many variables over the integers, and fix an ideal $I$ of $R$. We prove that for all but finitely prime integers $p$, the Bockstein homomorphisms on local cohomology, $H^k_I(R/pR)\to H^{k+1}_I(R/pR)$, are zero. This provides strong evidence for Lyubeznik's conjecture which states that the modules $H^k_I(R)$ have a finite number of associated prime ideals.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Bockstein homomorphisms in local cohomology 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 Bockstein homomorphisms in local cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bockstein homomorphisms in local cohomology will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-632764

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.