Integrating Hasse-Schmidt derivations
Commutative Algebra
2019-05-24 v3 Logic
Abstract
We study integrating (that is expanding to a Hasse-Schmidt derivation) derivations, and more generally truncated Hasse-Schmidt derivations, satisfying iterativity conditions given by formal group laws. Our results concern the cases of the additive and the multiplicative group laws. We generalize a theorem of Matsumura about integrating nilpotent derivations (such a generalization is implicit in work of Ziegler) and we also generalize a theorem of Tyc about integrating idempotent derivations.
Cite
@article{arxiv.1212.5788,
title = {Integrating Hasse-Schmidt derivations},
author = {Daniel Hoffmann and Piotr Kowalski},
journal= {arXiv preprint arXiv:1212.5788},
year = {2019}
}