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arXiv · 2608.07351

Finite-Rank Lie Algebroids for Singular Foliations of Prescribed Vanishing Order

Austin Davis·Cheng-Yi Hung·Sangjun Ko·Kaichuan Qi
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Abstract

We construct a family of finite-rank Lie algebroids realizing, through their anchor maps, the singular foliations of vector fields vanishing to a prescribed order at the origin. The construction is obtained from the sub-adjacent Lie algebroids of a class of left-symmetric algebroids.

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Austin Davis, Cheng-Yi Hung, Sangjun Ko, Kaichuan Qi. 2026-08-07. Finite-Rank Lie Algebroids for Singular Foliations of Prescribed Vanishing Order. https://arxiv.org/abs/2608.07351

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