Motivic local density of isolated surface singularities
Algebraic Geometry
2026-03-30 v1
Abstract
The goal of this paper is to compute the motivic local density of an isolated algebraic surface singularity, in order to explain its link with algebraic multiplicity. In this context, we can use an additional data: the inner rate related to the bilipschitz geoemtry of the singularity, as studied by A. Belotto da Silva, L. Fantini and A. Pichon.
Keywords
Cite
@article{arxiv.2603.26391,
title = {Motivic local density of isolated surface singularities},
author = {Sidonie Ratajczak},
journal= {arXiv preprint arXiv:2603.26391},
year = {2026}
}
Comments
29 pages