Integrable Hamiltonian systems with incomplete flows and Newton's polygons

Elena A. Kudryavtseva, Timur A. Lepsky

We study the Hamiltonian vector field $v=(-\partial f/\partial w,\partial f/\partial z)$ on ${\mathbb{C}}^2$, where $f=f(z,w)$ is a polynomial in two complex variables, which is non-d…