Rationally cubic connected manifolds I: manifolds covered by lines

スポンサーリンク

概要

• 論文の詳細を見る

• In this paper we study smooth complex projective polarized varieties (X,H) of dimension n ≥ 2 which admit a covering family V of rational curves of degree 3 with respect to H such that two general points of X may be joined by a curve parametrized by V, and such that there is a covering family of rational curves of H-degree one.We prove that the Picard number of these manifolds is at most three, and that, if equality holds, (X,H) has an adjunction theoretic scroll structure over a smooth variety.

著者

• Paterno Valentina

  Dipartimento di Matematica, Università di Trento

• OCCHETTA Gianluca

  Dipartimento di Matematica, Università di Trento

• Occhetta Gianluca

  Dipartimento di Matematica, Università di Trento

関連論文

• Rationally cubic connected manifolds I: manifolds covered by lines
• Fano fivefolds of index two with blow-up structure

スポンサーリンク