In this paper we classify varieties of Picard number two having two projective bundle structures of any relative dimension, under the assumption that these structures are mutually uniform. As an application we prove the Campana–Peternell conjecture for varieties of Picard number one admitting C∗-actions of a certain kind.
Manifolds with two projective bundle structures / Occhetta, G.; Romano, E. A.; Solá Conde, E. L.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 150:4(2022), pp. 1381-1395. [10.1090/proc/15762]
Manifolds with two projective bundle structures
Occhetta G.;Romano E. A.;Solá Conde E. L.
2022-01-01
Abstract
In this paper we classify varieties of Picard number two having two projective bundle structures of any relative dimension, under the assumption that these structures are mutually uniform. As an application we prove the Campana–Peternell conjecture for varieties of Picard number one admitting C∗-actions of a certain kind.File in questo prodotto:
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