Leaves and trajectories for schemes. Application to the comparison of three classical sheaves over the differential spectrum

Details Leaves and trajectories for schemes. Application to the comparison of three classical sheaves over the differential spectrum Leaves and trajectories for schemes. Application to the comparison of three classical sheaves over the differential spectrum

2010-11-08

arxiv.org/abs/1011.1806v1

Mathematics

Algebraic Geometry

40 pages, submitted

Scientific paper

We define leaves and trajectories for schemes endowed with a vector field. With the help of these tools, we are able to give a geometrical interpretation and to generalize several results and constructions on differential schemes. We prove a result of extension of constant sections. Finally, as an application, we compare three classical sheaves that have been defined over the differential spectrum.

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