2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147046One of the themes in algebraic geometry is the study of the relation between the ``topology'' of a smooth projective variety and a (``general'') hyperplane section. Recent results of Nori produce cohomological evidence for a conjecture that a general hypersurface of sufficently large degree should have no ``interesting'' cycles. We compute precise bounds for these results and show by example that there are indeed interesting cycles for degrees that are not high enough. In a different direction Esnault, Nori and Srinivas have shown connectivity for intersections of small multidegree. We show analogous cycle-theoretic connectivity results.AmsTeX 2.1, 13 pages. Those who did "get" the earlier paper will find that Section 4 of this paper is the entire contents of the previous paper. The rest of the paper contains a number of new resultsAlgebraic Geometrytext