3 problems

Extension conjecture. There are an open neighborhood $U\subset\Bbb C^n$ of $0$ and a Kronecker web $\cal W'$ on $U$ whose $k$-jet at $0$ agrees with $\cal W$.

Analytic approximation conjecture. There is an open subset $U'\subset U$ containing $0$ and a real-analytic Kronecker web $\cal W'$ on $U'$ whose $k$-jet at $0$ agrees with the $k$…

Local classification conjecture. There is a local isomorphism of bihamiltonian structures between $M$ near $m$ and $\Phi(\cal W)$ near $m'$.