Poincaré series for plane curve singularities and their behaviour under projections

Details Poincaré series for plane curve singularities and their behaviour under projections Poincaré series for plane curve singularities and their behaviour under projections

2011-07-06

arxiv.org/abs/1107.1173v1

Mathematics

Algebraic Geometry

Scientific paper

Our purpose is to investigate all defined Poincar\'e series associated with
multi-index filtrations and value semigroups of curve singularities---not
necessarily complex---with regard to the property of forgetting variables,
i.e., by making variables of the series to be 1. Generalised Poincar\'e series
of motivic nature will be also considered.

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