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• W2096064137 abstract "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." @default.
• W2096064137 created "2016-06-24" @default.
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• W2096064137 date "2012-07-01" @default.
• W2096064137 modified "2023-09-25" @default.
• W2096064137 title "Rationally cubic connected manifolds I: manifolds covered by lines" @default.
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• W2096064137 doi "https://doi.org/10.2969/jmsj/06430941" @default.
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