On some curve singularity invariants and reductions

Details On some curve singularity invariants and reductions On some curve singularity invariants and reductions

2011-07-03

arxiv.org/abs/1107.0499v1

Mathematics

Algebraic Geometry

Scientific paper

This paper deals with the study of the behaviour of the value semigroup of a
curve singularity define over a global field reduced modulo a maximal ideal. We
also define a global zeta function of the curve by means of motivic integration
over a suitable ring of ad\'eles, whose reduction modulo a maximal ideal will
coincide with some already known zeta functions of the singularity.

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