An algebraic foliation chart for a foliated manifold is a foliation chart for which the transition maps are polynomial maps.
What is an example of an analytic foliation of the Euclidean space $\mathbb{R}^n$ which does not admit an algebraic foliation chart? In particular is there an algebraic foliation chart for foliation of the plane tangent to $cos y \partial_x +sin y \partial _y$
