Hasse--Schmidt derivations versus classical derivations
Algebraic Geometry
2020-01-09 v2
Abstract
In this paper we survey the notion and basic results on multivariate Hasse--Schmidt derivations over arbitrary commutative algebras and we associate to such an object a family of classical derivations. We study the behavior of these derivations under the action of substitution maps and we prove that, in characteristic , the original multivariate Hasse--Schmidt derivation can be recovered from the associated family of classical derivations. Our constructions generalize a previous one by M. Mirzavaziri in the case of a base field of characteristic .
Keywords
Cite
@article{arxiv.1810.08075,
title = {Hasse--Schmidt derivations versus classical derivations},
author = {L. Narváez-Macarro},
journal= {arXiv preprint arXiv:1810.08075},
year = {2020}
}
Comments
Dedicated to L\^e D\~ung Tr\'ang; final version; 2 references added; minor corrections. arXiv admin note: text overlap with arXiv:1807.10193, arXiv:1903.08985