Vector fields and differential schemes
Algebraic Geometry
2020-09-08 v3 Commutative Algebra
Abstract
We define vector fields, leaves and trajectories for schemes. With these tools, we are able to give a geometrical interpretation and to generalize several results of differential Galois theory and constructions on differential schemes. We prove a theorem of extension of constant sections. Finally, as an application, we compare three classical sheaves defined over the differential spectrum.
Keywords
Cite
@article{arxiv.1011.1806,
title = {Vector fields and differential schemes},
author = {Colas Bardavid},
journal= {arXiv preprint arXiv:1011.1806},
year = {2020}
}
Comments
42 pages, 2 figures, submitted