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PreprintarXiv licencearXiv

Symplectic singularity as hyperKähler cone

  • Yuji Odaka
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Abstract

We prove that any symplectic singularity has a structure of hyperKähler cone. In particular, it is equivalent to the vertex of a conical symplectic variety, and it is automatically K-polystable.

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Cite

BibTeXRIS
BibTeX
@misc{odaka2026symplectic,
  title = {{Symplectic singularity as hyperKähler cone}},
  author = {Yuji Odaka},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35510},
  eprint = {2610.35510},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35510},
}
RIS
TY  - UNPB
TI  - Symplectic singularity as hyperKähler cone
AU  - Yuji Odaka
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35510
UR  - https://arxiv.org/abs/2610.35510
AB  - We prove that any symplectic singularity has a structure of hyperKähler cone. In particular, it is equivalent to the vertex of a conical symplectic variety, and it is automatically K-polystable.
ER  -