Grassmannians of secant varieties
| dc.creator | Chiantini, L. | |
| dc.creator | Coppens, M. | |
| dc.date | 2000-05-22 | |
| dc.date.accessioned | 2026-07-07T04:35:24Z | |
| dc.date.available | 2026-07-07T04:35:24Z | |
| dc.description | For an irreducible projective variety X, we study the family of h-planes contained in the secant variety Sec_k(X), for 0<h<k. These families have an expected dimension and we study varieties for which the expected dimension is not attained; for these varieties, making general consecutive projections to lower dimensional spaces, we do not get the expected singularities. In particular, we examine the family G of lines sitting in 3-secant planes to a surface S. We show that the actual dimension of G is equal to the expected dimension unless S is a cone or a rational normal scroll of degree 4 in P^5. | |
| dc.description | AMS-TeX with amsppt style, 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0005202 | |
| dc.identifier | http://arxiv.org/abs/math/0005202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59242 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N05 | |
| dc.title | Grassmannians of secant varieties | |
| dc.type | text |