On the singularities of quotients by 1-foliations
Algebraic Geometry
2026-01-14 v4
Abstract
We study the singularities of varieties obtained as infinitesimal quotients by -foliations in positive characteristic. (1) We show that quotients by (log) canonical -foliations preserve the (log) singularities of the MMP. (2) We prove that quotients by multiplicative derivations preserve many properties, amongst which most -singularities. (3) We formulate a notion of families of -foliations, and investigate the corresponding families of quotients.
Keywords
Cite
@article{arxiv.2311.16694,
title = {On the singularities of quotients by 1-foliations},
author = {Quentin Posva},
journal= {arXiv preprint arXiv:2311.16694},
year = {2026}
}
Comments
v4: Final version, to appear in Nagoya Math. Journal