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arXiv · 2101.05845

Families and unfoldings of singular holomorphic Lie Algebroids

Maurício Corrêa·Ariel Molinuevo·Federico Quallbrunn
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Abstract

In this paper, we investigate families of singular holomorphic Lie algebroids on complex analytic spaces. We introduce and study a special type of deformation called unfoldings of Lie algebroids, which generalizes the theory of singular holomorphic foliations developed by T. Suwa. We show that a one to one correspondence between transversal unfoldings and holomorphic flat connections on a natural Lie algebroid on the bases exists.

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Maurício Corrêa, Ariel Molinuevo, Federico Quallbrunn. 2021-01-14. Families and unfoldings of singular holomorphic Lie Algebroids. https://arxiv.org/abs/2101.05845

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