M. Beltrametti

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math.AG2007

Ample subvarieties and rationally connected fibrations

Mauro C. Beltrametti, Tommaso de Fernex, Antonio Lanteri

Under some positivity assumptions, extension properties of rationally connected fibrations from a submanifold to its ambient variety are studied. Given a family of rational curves…

math.AG2007

Projective manifolds containing special curves

Lucian Badescu, Mauro C. Beltrametti

Let $Y$ be a smooth curve embedded in a complex projective manifold $X$ of dimension $n \geq 2$ with ample normal bundle $N_{Y ∣ X}$ . For every $p \geq 0$ let $α_{p}$ denote the natural…