%0 Journal Article %T About the Overcompleteness of Coherent State Systems with a Line Bundles Viewpoint %A A. I. Shimabukuro %J Physics %D 2001 %I arXiv %X 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. %U http://arxiv.org/abs/math-ph/0102023v1