Motivic local density of isolated surface singularities

Fuente: arXiv
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Autore principale: Ratajczak, Sidonie
Natura: Preprint
Pubblicazione: 2026
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author Ratajczak, Sidonie
author_facet Ratajczak, Sidonie
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26391
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Motivic local density of isolated surface singularities
Ratajczak, Sidonie
Algebraic Geometry
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.
title Motivic local density of isolated surface singularities
topic Algebraic Geometry
url https://arxiv.org/abs/2603.26391