P1-bundles over projective manifolds of Picard number one each of which admit another smooth morphism of relative dimension one

2012/01/17 by Kiwamu Watanabe, Watanabe, Kiwamu
Mathematics · #14J45 #14J60 (Primary) 14M17 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J45 #msc:14J60 #msc:14M17

paper · pdf · doi:10.48550/arxiv.1201.3558

13 page, v2; title is changed, main theorem is slightly generalized

arxiv created 2013/01/05 · arxiv updated 2013/01/08

Abstract

We give a complete classification of P1-bundles over a projective manifold of Picard number one which admit another smooth morphism of relative dimension one.

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