On the behavior of formal neighborhoods in the Nash sets associated with toric valuations: a comparison theorem - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

On the behavior of formal neighborhoods in the Nash sets associated with toric valuations: a comparison theorem

Résumé

We show that there exists a strong connection between the generic formal neighborhood at a rational arc lying in the Nash set associated with a toric divisorial valuation on a toric variety and the formal neighborhood at the generic point of the same Nash set. This may be interpreted as the fact that, analytically along such a Nash set, the arc scheme of a toric variety is a product of a finite dimensional singularity and an infinite dimensional affine space.

Dates et versions

hal-03753437 , version 1 (18-08-2022)

Identifiants

Citer

David Bourqui, Mario Morán Cañón, Julien Sebag. On the behavior of formal neighborhoods in the Nash sets associated with toric valuations: a comparison theorem. 2022. ⟨hal-03753437⟩
20 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More