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PreprintarXiv licencearXiv

Decompositions of birational toric morphism between threefolds

Abstract

Let f:X→ Y be a birational morphism between smooth projective threefolds, Kollár asked that if f could be decomposed into smooth blow-downs and smooth flops. In this paper we show that the toric version is true.

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BibTeX
@misc{xie2026decompositions,
  title = {{Decompositions of birational toric morphism between threefolds}},
  author = {Lingyao Xie},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36802},
  eprint = {2610.36802},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36802},
}
RIS
TY  - UNPB
TI  - Decompositions of birational toric morphism between threefolds
AU  - Lingyao Xie
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.36802
UR  - https://arxiv.org/abs/2610.36802
AB  - Let f:X→ Y be a birational morphism between smooth projective threefolds, Kollár asked that if f could be decomposed into smooth blow-downs and smooth flops. In this paper we show that the toric version is true.
ER  -