Vector fields and differential schemes

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.

42 pages, 2 figures, submitted

Cited by in corpus (1)

• On the geometrization of a lemma of differential Galois theory