Varieties n-covered by curves of degree $\delta$

Luc Pirio (1) , Francesco Russo (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Dipartimento di Matematica e Informatica

We continue the study, began by classical geometers and considered more recently in [33] and [52], of complex projective varieties $X \subset P^N$ such that through $n \geq 2$ general points of $X$ there passes an irreducible curve of degree $\delta$.

Mots clés: rationally connected variety; Jordan algebra; Projective variety

Domaines: Géométrie algébrique [math.AG]

Luc Pirio, Francesco Russo. Varieties n-covered by curves of degree $\delta$. Commentarii Mathematici Helvetici, 2013, 88 (3), pp.715-757. ⟨10.4171/CMH/301⟩. ⟨hal-00906025⟩