Deformations of pullback foliations
Algebraic Geometry
2024-12-31 v1
Abstract
We study the stability of pullback foliations under morphisms and rational maps via Grothendieck's Drapeaux scheme. In the local setting, a foliated version of Schlessinger's Theorem on rigidity of conical singularities was achieved. We apply these techniques to provide a criterion for the stability of algebraic leaves of a foliation.
Keywords
Cite
@article{arxiv.2412.19968,
title = {Deformations of pullback foliations},
author = {Pablo Perrella},
journal= {arXiv preprint arXiv:2412.19968},
year = {2024}
}