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arXiv · 2503.19064

Vector fields and flows on $C^\infty$-schemes

Eugene Lerman
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Abstract

We prove that a vector field on an affine $C^\infty$-scheme Spec(A) has a flow if the $C^\infty$-ring A is finitely generated. If the vector field is complete then the flow is the target map of a groupoid internal to the category of $C^\infty$-schemes.

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Eugene Lerman. 2025-03-24. Vector fields and flows on $C^\infty$-schemes. https://arxiv.org/abs/2503.19064

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