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arXiv · 1107.0499

On some curve singularity invariants and reductions

Julio José Moyano-Fernández
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Abstract

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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Julio José Moyano-Fernández. 2011-07-03. On some curve singularity invariants and reductions. https://arxiv.org/abs/1107.0499

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