English

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

Algebraic Geometry 2010-02-19 v1

Abstract

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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Cite

@article{arxiv.1002.3466,
  title  = {Flows of birational quadratic transformations in the complex projective space of dimension 3},
  author = {Monica Manjarin},
  journal= {arXiv preprint arXiv:1002.3466},
  year   = {2010}
}

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35 pages