Codimension one foliations on complex tori

By a classical result of Chern-Moser [4], any formal biholomorphic transformation in the complex N-dimensional space, N > 1, sending two real-analytic strongly

Moment Map of the Universal Extension Bundle Automorphisms In this section we will show how the sympletic manifold (X, ω ) identifies, through the Moment map of the Hamiltonian

In the remaining case, taking in account the invariant curve of the vector field X, we can specify our normal form as follows (see Section 3 for a statement including

Then, we prove that F is the meromorphic pull-back of an algebraic foliation on an algebraic manifold N , or F is transversely projective outside a compact hypersurface, improving

If this function is constant along the leaves, Ω can be locally expressed as a power of a closed meromorphic 1-form ; hence, its restriction to a transversal to the codimension

If a locally compact group is not σ-compact, then it has no proper length and therefore both Property PL and strong Property PL mean that every length is bounded.. Such groups

(It is in agreement to Yau result [8] that the identity component of the isometry group of an open Riemannian manifold X is compact if X is not diffeomorphic to the product of

As an example of application, we explain how the algebraicity of a global holomorphic web in codimension one on the complex n -dimensional projective space P n (algebraicity that