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arXiv · 2606.16834

Deformation theory of complex structures via Hamilton-Nash-Moser theory

Vicente Cortés·Paula Naomi Pilatus
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Abstract

We revisit the classical proof by Kuranishi on the existence of a locally complete family of complex deformations on a compact complex manifold using Hamilton's Nash-Moser implicit function theorem. This is relevant to existing and future extensions of this theorem to generalized complex structures on Courant algebroids.

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Vicente Cortés, Paula Naomi Pilatus. 2026-06-15. Deformation theory of complex structures via Hamilton-Nash-Moser theory. https://arxiv.org/abs/2606.16834

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