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Tangent algebraic subvarieties of vector fields
Authors:Juan B Sancho de Salas
Institution:Departamento de Matematicas, Universidad de Extremadura, Av. de Elvas s/n, Badajoz 06071, Spain
Abstract:An algebraic commutative group $G$ is associated to any vector field $D$ on a complete algebraic variety $X$. The group $G$ acts on $X$ and its orbits are the minimal subvarieties of $X$ which are tangent to $D$. This group is computed in the case of a vector field on $\mathbb{P}_n$.

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