Abstract
Let R be a polynomial ring in finitely many variables over the integers. Fix an ideal 𝔞 of R. We prove that for all but finitely many prime integers p, the Bockstein homomorphisms on local cohomology, , are zero. This vanishing of Bockstein homomorphisms is predicted by Lyubeznik's conjecture which states that when R is a regular ring, the modules have finitely many associated prime ideals.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal für die reine und angewandte Mathematik (Crelles Journal)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.