  Standart Coherent State Systems have an analysis based on lattices (von
Neumann's lattices) in terms of wich they are classified, looking at the size
of the minimun cell, by: complete, overcomplete and not complete. In this work
we analize overcomplete systems with a geometrical viewpoint (holomorphic
line-budles). We apply the method to evaluate the degeneracy of the lowest
Landau level.
