Cohomological and Cycle-theoretic connectivity
| dc.creator | Paranjape, Kapil H. | |
| dc.date | 1992-02-26 | |
| dc.date | 1992-04-07 | |
| dc.date.accessioned | 2026-07-07T08:57:39Z | |
| dc.date.available | 2026-07-07T08:57:39Z | |
| dc.description | One 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. | |
| dc.description | 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 results | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9202027 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9202027 | |
| dc.identifier | Annals of Mathematics 140 (1994) pages 641-660 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147046 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Cohomological and Cycle-theoretic connectivity | |
| dc.type | text |