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Poincaré series for plane curve singularities and their behaviour under projections (1107.1173v1)
Published 6 Jul 2011 in math.AG
Abstract: 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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