PreprintCC BY 4.0arXiv
Finite-Rank Lie Algebroids for Singular Foliations of Prescribed Vanishing Order
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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BibTeX
@misc{davis2026finiterank,
title = {{Finite-Rank Lie Algebroids for Singular Foliations of Prescribed Vanishing Order}},
author = {Austin Davis and Cheng-Yi Hung and Sangjun Ko and Kaichuan Qi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.07351},
eprint = {2608.07351},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.07351},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Finite-Rank Lie Algebroids for Singular Foliations of Prescribed Vanishing Order
AU - Austin Davis
AU - Cheng-Yi Hung
AU - Sangjun Ko
AU - Kaichuan Qi
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2608.07351
UR - https://arxiv.org/abs/2608.07351
AB - 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.
ER -