On some curve singularity invariants and reductions
Algebraic Geometry
2011-07-05 v1
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.
Keywords
Cite
@article{arxiv.1107.0499,
title = {On some curve singularity invariants and reductions},
author = {Julio José Moyano-Fernández},
journal= {arXiv preprint arXiv:1107.0499},
year = {2011}
}