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.
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