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Birational transformations preserving codimension one foliations

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Birational transformations preserving codimension one foliations
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5
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
I will report on a work in progress with Federico Lo Bianco, Erwan Rousseau, and Frédéric Touzet about the structure of codimension one foliations having an infinite group of birational symmetries.
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