On divisorial filtrations associated with Newton diagrams

W. Ebeling and S. M. Gusein-Zade

Journal of Singularities
volume 3 (2011), 1-7

Received: 9 September 2010. Received in revised form: 2 February 2011.

DOI: 10.5427/jsing.2011.3a

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We consider divisorial filtrations on the rings of functions on hypersurface singularities associated with Newton diagrams and their analogues for plane curve singularities. We compute the multi-variable Poincaré series for the latter ones.


filtrations, divisorial filtrations, Newton diagrams, Poincaré series

Mathematical Subject Classification:

32S05, 14M25, 16W70

Author(s) information:

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: ebeling@math.uni-hannover.de email: sabir@mccme.ru