English

On the bracket of integrable derivations

Algebraic Geometry 2021-07-20 v2

Abstract

We prove that any multi-variate Hasse-Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse-Schmidt derivations. As a consequence we prove that the bracket of two mm-integrable derivations is also mm-integrable, for mm a positive integer or infinity.

Keywords

Cite

@article{arxiv.1912.11635,
  title  = {On the bracket of integrable derivations},
  author = {Luis Narváez-Macarro and María de la Paz Tirado Hernández},
  journal= {arXiv preprint arXiv:1912.11635},
  year   = {2021}
}
R2 v1 2026-06-23T12:56:19.329Z