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PreprintCC BY 4.0arXiv

Hyperkähler SYZ conjecture

Abstract

We prove the hyperkähler SYZ conjecture: the sections of some power of a non-trivial nef isotropic line bundle define a Lagrangian fibration.

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BibTeX
@misc{engel2026hyperkähler,
  title = {{Hyperkähler SYZ conjecture}},
  author = {Philip Engel and Mirko Mauri},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12277},
  eprint = {2610.12277},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12277},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Hyperkähler SYZ conjecture
AU  - Philip Engel
AU  - Mirko Mauri
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12277
UR  - https://arxiv.org/abs/2610.12277
AB  - We prove the hyperkähler SYZ conjecture: the sections of some power of a non-trivial nef isotropic line bundle define a Lagrangian fibration.
ER  -