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# Questions tagged [holomorphic-foliations]

For question concerning foliation theory in the holomorphic case: germs of foliation singularities, holomorphic foliations on complex manifolds, Pfaff fields, etc.

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### What are the prerequisites to learning about Lie groupoids, Lie algebroids and holomorphic foliations?

I am a graduate student of Theoretical Physics and intend to take a course titled "Introduction to Lie groupoids, Lie algebroids and holomorphic foliations". The course page doesn't have information ...
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Definition 1): A codimension one distribution of degree $d \geq 0$ in $\mathbb{P}^{n}$ is given by an exact sequence: $$\mathscr{F}: 0 \longrightarrow T_{\mathscr{F}} \longrightarrow T\mathbb{P}^{n}\... 1answer 98 views ### Exact sequence on \mathbb{P}^3 obtained from Euler sequence In the article of title: On the singular scheme of codimension one holomorphic foliations in \mathbb{P}^3 the author states that the sequence on \mathbb{P}^3$$0\longrightarrow \mathcal{F}\oplus\...
From here: https://www.encyclopediaofmath.org/index.php/Complex_torus A complex torus is a complex Abelian Lie group obtained from the $n$-dimensional complex space $\mathbb{C}^n$ by factorizing ...
Let $(V,0)\subset (\mathbb{C}^n,0)$, $n\geq 3$ a (germ of) hypersurface given by $\{f=0\}$, $f$ holomorphic. A (germ of) holomorphic vector field $X$ leaves $V$ invariant if ${\rm d}f(X)$ belongs to ...