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arXiv · 1606.09060

D-modules and complex foliations

Hamidou Dathe
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Abstract

Consider a complex analytic manifold $X$ and a coherent Lie subalgebra $\shi$ of the Lie algebra of complex vector fields on $X$. By using a natural $\shd_X$-module $\shm_\shi$ naturally associated to $\shi$ and the ring (in the derived sense) $\rhom[\shd_X](\shm_\shi,\shm_\shi)$, we associate integers which measure the irregularity of the foliation associated with $\shi$.

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Hamidou Dathe. 2016-06-29. D-modules and complex foliations. https://arxiv.org/abs/1606.09060

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