Transverse Hilbert Schemes and Completely Integrable Systems

Abstract

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

12 pages

References in corpus (1)

• Hyperkähler Manifolds of Curves in Twistor Spaces