Tangent scrolls in prime Fano threefolds

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dc.creatorIliev, Atanas
dc.creatorSchuhmann, Carmen
dc.date2000-05-04
dc.date.accessioned2026-07-07T04:34:59Z
dc.date.available2026-07-07T04:34:59Z
dc.descriptionIn this paper we prove that any smooth prime Fano threefold, different from the Mukai-Umemura threefold, contains a 1-dimensional family of intersecting lines. Combined with a result of the second author (see J. Algebr. Geom. 8:2 (1999), 221-244) this implies that any morphism from a smooth Fano threefold of index 2 to a smooth Fano threefold of index 1 must be constant, which gives an answer in dimension 3 to a question stated by Peternell.
dc.description19 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0005040
dc.identifierhttp://arxiv.org/abs/math/0005040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59120
dc.subjectAlgebraic Geometry
dc.titleTangent scrolls in prime Fano threefolds
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