Flows of birational quadratic transformations in the complex projective space of dimension 3
classification
🧮 math.AG
keywords
quadraticspacebirationalcomplexdimensionflowsprojectivetransformations
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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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