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 Varieties swept out by grassmannians of lines


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We classify complex projective varieties of dimension $2r \geq 8$ swept out by a family of codimension two grassmannians of lines $\mathbb{G}1,r$. They are either fibrations onto normal surfaces such that the general fibers are isomorphic to $\G1,r$ or the grassmannian $\mathbb{G}1,r+1$. The cases $r=2$ and $r=3$ are also considered in the more general context of varieties swept out by codimension two linear spaces or quadrics.



Autor: Roberto Munoz; Luis E. Sola Conde

Fuente: https://archive.org/







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