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PreprintarXiv licencearXiv

Orlov's rationality conjecture for surfaces

  • Xun Lin
  • Shizhuo Zhang
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Abstract

We prove that a smooth projective surface over ℂ admitting a full exceptional collection of line bundles is rational.

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Cite

BibTeXRIS
BibTeX
@misc{lin2026orlovs,
  title = {{Orlov's rationality conjecture for surfaces}},
  author = {Xun Lin and Shizhuo Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21807},
  eprint = {2609.21807},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21807},
}
RIS
TY  - UNPB
TI  - Orlov's rationality conjecture for surfaces
AU  - Xun Lin
AU  - Shizhuo Zhang
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21807
UR  - https://arxiv.org/abs/2609.21807
AB  - We prove that a smooth projective surface over ℂ admitting a full exceptional collection of line bundles is rational.
ER  -