A Matsushima theorem, uniqueness and K-polystability for Kähler-Ricci shrinkers

@misc{esparza2026matsushima,
  title = {{A Matsushima theorem, uniqueness and K-polystability for Kähler-Ricci shrinkers}},
  author = {Carlos Esparza and Junsheng Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03592},
  eprint = {2610.03592},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03592},
}

TY  - UNPB
TI  - A Matsushima theorem, uniqueness and K-polystability for Kähler-Ricci shrinkers
AU  - Carlos Esparza
AU  - Junsheng Zhang
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03592
UR  - https://arxiv.org/abs/2610.03592
AB  - For noncompact smooth Kähler-Ricci shrinkers, we prove a Matsushima theorem identifying the centralizer of the soliton field with the complexification of its Killing centralizer, uniqueness up to biholomorphism on a fixed complex manifold, and K-polystability of the associated polarized Fano fibration.
ER  -