Rational curves of minimal degree and characterizations of ${\mathbb P}^n$

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dc.creatorAraujo, Carolina
dc.date2004-10-27
dc.date.accessioned2026-07-07T05:13:45Z
dc.date.available2026-07-07T05:13:45Z
dc.descriptionIn this paper we investigate complex uniruled varieties $X$ whose rational curves of minimal degree satisfy a special property. Namely, we assume that the tangent directions to such curves at a general point $x\in X$ form a linear subspace of $T_xX$. As an application of our main result, we give a unified geometric proof of Mori's, Wahl's, Campana-Peternell's and Andreatta-Wiśniewski's characterizations of ${\mathbb P}^n$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0410584
dc.identifierhttp://arxiv.org/abs/math/0410584
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73026
dc.subjectAlgebraic Geometry
dc.subject14E08; 14J40
dc.titleRational curves of minimal degree and characterizations of ${\mathbb P}^n$
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