English

Transverse Hilbert Schemes and Completely Integrable Systems

Differential Geometry 2018-01-22 v1 Symplectic Geometry

Abstract

Via the transverse Hilbert scheme construction, we associate a holomorphic completely integrable system to a surface SS endowed with a holomorphic symplectic form ω\omega and a projection onto C\mathbb{C}. We provide a full characterization of the completely integrable systems that arise in this way.

Keywords

Cite

@article{arxiv.1706.01801,
  title  = {Transverse Hilbert Schemes and Completely Integrable Systems},
  author = {Niccolò Lora Lamia Donin},
  journal= {arXiv preprint arXiv:1706.01801},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-22T20:10:39.351Z