English

Remarks on bitrational relations of toric Mori fiber spaces

Algebraic Geometry 2022-07-14 v1

Abstract

We can run the MMP for any divisor on any Q\mathbb{Q}-factorial projective toric variety. We show that two Mori fiber spaces, which are outputs of the above MMP, are connected by finitely many elementary transforms.

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Cite

@article{arxiv.2207.06171,
  title  = {Remarks on bitrational relations of toric Mori fiber spaces},
  author = {Keisuke Miyamoto},
  journal= {arXiv preprint arXiv:2207.06171},
  year   = {2022}
}

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11 pages