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Stratifications of schemes using tangent...
Källström, Rolf...

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Stratifications of schemes using tangent vector fields by Källström, Rolf ( Author )
Lemonjar Open Access
N.A
26-07-2023
Let $X/k$ be a noetherian scheme over a field $k$ of characteristic 0, such that the residue field at its closed points are algebraic extensions of $k$. Let ${\mathfrak g}_{X/k}\subset T_{{X/k}}$ be an ${\mathcal O}_{X}$-submodule of the tangent sheaf which is closed under the Lie bracket. We construct a stratification of the subset of closed points in $X$ by locally closed subsets that are preserved by ${\mathfrak g}_{X/k}$, on which ${\mathfrak g}_{X/k}$ acts transitively.
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Article
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37.08 KB
English
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MYR 0.01
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http://arxiv.org/abs/1212.4253
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