Generalised Poincaré series and embedded resolution of curves

Mathematics – Algebraic Geometry

Scientific paper

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To appear in Monatshefte f\"ur Mathematik, on-line first publication

Scientific paper

10.1007/s00605-010-0259-z

The purpose of this paper is to extend the notions of generalised Poincar\'e
series and divisorial generalised Poincar\'e series (of motivic nature)
introduced by Campillo, Delgado and Gusein-Zade for complex curve singularities
to curves defined over perfect fields, as well as to express them in terms of
an embedded resolution of curves.

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