On quadrisecant lines of threefolds in P^5

Simple item page
dc.creatorMezzetti, Emilia
dc.date2001-12-07
dc.date.accessioned2026-07-07T04:45:06Z
dc.date.available2026-07-07T04:45:06Z
dc.descriptionWe study smooth threefolds of the projective space of dimension 5 whose quadrisecant lines don't fill up the space. We give a complete classification of those threefolds X whose only quadrisecant lines are the lines contained in X. Then we prove that, if X admits "true" quadrisecant lines, but they don't fill up the space, then either X is contained in a cubic hypersurface, or it contains a family of dimension at least two of plane curves of degree at least four.
dc.descriptionPlain Tex, 12 pages
dc.identifierhttps://arxiv.org/abs/math/0112075
dc.identifierhttp://arxiv.org/abs/math/0112075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62844
dc.subjectAlgebraic Geometry
dc.subject14J30, 14J70
dc.titleOn quadrisecant lines of threefolds in P^5
dc.typetext

Files

Collections

arXiv