Flows of birational quadratic transformations in the complex projective space of dimension 3

Details Flows of birational quadratic transformations in the complex projective space of dimension 3 Flows of birational quadratic transformations in the complex projective space of dimension 3

2010-02-18

arxiv.org/abs/1002.3466v1

Mathematics

Algebraic Geometry

35 pages

Scientific paper

We study and classify up to a linear conjugation germs of flows in the space
of quadratic birational transformations of the complex projective space of
dimension 3. As a consequence we show that every quadratic flow preserves a
pencil of planes through a line.

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