Hasse-Schmidt derivations and locally trivial deformations in positive characteristic
Algebraic Geometry
2025-12-02 v2 Commutative Algebra
Abstract
In this paper, we first study the lifting problem of Hasse-Schmidt derivations and then apply the results to the theory of locally trivial deformations of algebraic schemes in positive characteristic. As an application, we construct an algebraic curve whose locally trivial deformation functor does not satisfy Schlessinger's condition (H1).
Keywords
Cite
@article{arxiv.2509.00887,
title = {Hasse-Schmidt derivations and locally trivial deformations in positive characteristic},
author = {Takuya Miyamoto},
journal= {arXiv preprint arXiv:2509.00887},
year = {2025}
}
Comments
45 pages