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Algebraic foliations defined by quasi-lines
Bonavero, Laurent...

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Algebraic foliations defined by quasi-lines by Bonavero, Laurent ( Author )
Lemonjar Open Access
Australian National University
06-07-2023
Let X be a projective manifold containing a quasi-line l. An important difference between quasi-lines and lines in the projective space is that in general there is more than one quasi-line passing through two given general points. In this paper we use this feature to construct an algebraic foliation associated to a family of quasi-lines. We prove that if the singular locus of this foliation is not too large, it induces a rational fibration on X that maps the general leaf of the foliation onto a quasi-line in a rational variety.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/0907.4848
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