We’re rewarding the question askers & reputations are being recalculated! Read more.

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.

Filter by
Sorted by
Tagged with
1
vote
1answer
14 views

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 ...
4
votes
0answers
101 views

Conormal and Tangent Sheaves of a Distribuition in $\mathbb{P}^{n}$ when $n = 2$ and $n = 3$

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}\...
4
votes
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\...
4
votes
1answer
129 views

Isomorphisms of complex (foliated) n-tori

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 ...
4
votes
0answers
307 views

holomorphic vector fields tangent to a hypersurface

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 ...