Tangent algebraic subvarieties of vector fields

Sancho de Salas, Juan

doi:10.1090/S0002-9947-04-03584-6

Tangent algebraic subvarieties of vector fields
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by Juan B. Sancho de Salas PDF

Trans. Amer. Math. Soc. 357 (2005), 3509-3523 Request permission

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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