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arXiv · 1011.1806

Vector fields and differential schemes

Colas Bardavid
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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.

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Colas Bardavid. 2010-11-08. Vector fields and differential schemes. https://arxiv.org/abs/1011.1806

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