Isotrivial Unfoldings and Structural Theorems for Foliations on Projective Spaces

Quallbrunn, Federico

doi:10.1007/s00574-016-0024-6

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Unfolding Of Lie Algebroids1

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2021

2023

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Cited by 2 publications

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“…The unfolding A is said to be transversal if the map N S A → N A is an isomorphism. Following T. Suwa [6] the third named author has showed the in [4] following result: Theorem 2.3. Let X be a non-singular variety and F 0 a foliation on X.…”

Section: Unfolding Of Lie Algebroidsmentioning

confidence: 97%

Families and unfoldings of singular holomorphic Lie Algebroids

Corrêa¹,

Molinuevo²,

Quallbrunn³

2021

Preprint

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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 by unfoldings of Lie algebroids which generalizes the theory due to Suwa for singular holomorphic foliations. We show that there is a one to one correspondence between transversal unfoldings and holomorphic flat connections on a natural Lie algebroid on the bases.

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Section: Unfolding Of Lie Algebroidsmentioning

confidence: 97%