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arXiv · 1706.01801

Transverse Hilbert Schemes and Completely Integrable Systems

Niccolò Lora Lamia Donin
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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.

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Niccolò Lora Lamia Donin. 2017-06-06. Transverse Hilbert Schemes and Completely Integrable Systems. https://doi.org/10.1515/coma-2017-0015

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