In this paper we study smooth complex projective polarized varieties (X,H) of dimension n ge 2 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.
Rationally cubic connected manifolds I: manifolds covered by lines / Occhetta, Gianluca; Paterno, Valentina. - In: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. - ISSN 0025-5645. - STAMPA. - 64:3(2012), pp. 941-967.
Titolo: | Rationally cubic connected manifolds I: manifolds covered by lines |
Autori: | Occhetta, Gianluca; Paterno, Valentina |
Autori Unitn: | |
Titolo del periodico: | JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN |
Anno di pubblicazione: | 2012 |
Numero e parte del fascicolo: | 3 |
Codice identificativo Scopus: | 2-s2.0-84866900872 |
Codice identificativo ISI: | WOS:000307136700010 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.2969/jmsj/06430941 |
Handle: | http://hdl.handle.net/11572/92925 |
Citazione: | Rationally cubic connected manifolds I: manifolds covered by lines / Occhetta, Gianluca; Paterno, Valentina. - In: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. - ISSN 0025-5645. - STAMPA. - 64:3(2012), pp. 941-967. |
Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
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