Fano varieties and linear sections of hypersurfaces

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dc.creatorStarr, Jason Michael
dc.date2006-07-05
dc.date.accessioned2026-07-07T07:18:04Z
dc.date.available2026-07-07T07:18:04Z
dc.descriptionUnder a hypothesis on $k$, $d$ and $n$ that is almost the best possible, we prove that for every smooth degree $d$ hypersurface in $P^n$, the $k$-plane sections dominate the moduli space of degree $d$ hypersurface in $P^k$. Using this we prove rational simple connectedness of every smooth degree $d$ hypersurface in $P^n$, under a suitable hypothesis on $d$ and $n$ (previous results were only for general hypersurfaces).
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0607133
dc.identifierhttp://arxiv.org/abs/math/0607133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114168
dc.subjectAlgebraic Geometry
dc.subject14N25
dc.titleFano varieties and linear sections of hypersurfaces
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