Rational surfaces in index-one Fano hypersurfaces

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dc.creatorBeheshti, Roya
dc.creatorStarr, Jason Michael
dc.date2006-01-29
dc.date.accessioned2026-07-07T06:59:26Z
dc.date.available2026-07-07T06:59:26Z
dc.descriptionWe give the first evidence for a conjecture that a general, index-one, Fano hypersurface is not unirational: (i) a general point of the hypersurface is contained in no rational surface ruled, roughly, by low-degree rational curves, and (ii) a general point is contained in no image of a Del Pezzo surface.
dc.description13 pages, 6 diagrams
dc.identifierhttps://arxiv.org/abs/math/0601710
dc.identifierhttp://arxiv.org/abs/math/0601710
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107747
dc.subjectAlgebraic Geometry
dc.subject14C05; 14E08
dc.titleRational surfaces in index-one Fano hypersurfaces
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