Journal of Singularities
volume 4 (2012), 180-187
Received: 11 June 2012. Received in revised form: 14 November 2012.
In a previous paper, there was defined a multi-index filtration on the ring of functions on a hypersurface singularity corresponding to its Newton diagram generalizing (for a curve singularity) the divisorial one. Its Poincaré series was computed for plane curve singularities non-degenerate with respect to their Newton diagrams. Here we use another technique to compute the Poincaré series for plane curve singularities without the assumption that they are non-degenerate with respect to their Newton diagrams. We show that the Poincaré series only depends on the Newton diagram and not on the defining equation.
Mathematical Subject Classification:
32S05, 14M25, 16W70
|W. Ebeling||S. M. Gusein-Zade|
|Leibniz Universität Hannover||Moscow State University|
|Institut für Algebraische Geometrie, Postfach 6009||Faculty of Mechanics and Mathematics|
|D-30060 Hannover, Germany||Moscow, GSP-1, 119991, Russia|
|email: firstname.lastname@example.org||email: email@example.com|