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Let $X$ be a uniruled projective manifold and let $x$ be a general point. The main result of [2] says that if the $(- K_{X})$ -degrees (i.e., the degrees with respect to the anti-canonical bundle of $X$ ) of all rational curves through $x$ are at least $dim X + 1$ , then $X$ is a projective space. In this paper, we study the structure of $X$ when the $(- K_{X})$ -degrees of all rational curves through $x$ are at least $dim X$ . Our study uses the projective variety $𝒞_{x} \subset ℙ T_{x} (X)$ , called the VMRT at $x$ , defined as the union of tangent directions to the rational curves...

Very Ample Divisors on Rational Surfaces.

Brian Harbourne (1985)

Mathematische Annalen

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Variétés de Prym et jacobiennes intermédiaires

Variétés rationnellement connexes

Variétés stablement rationnelles non rationnelles

Variétés unirationnelles non rationnelles: au-delà de l'example d'Artin et Mumford.

Varieties of minimal rational tangents of codimension 1

Very Ample Divisors on Rational Surfaces.

Currently displaying 1 – 6 of 6