Geometric parametrization of valuations on a polynomial ring

2022/08/29 by Enric Nart, Nart, Enric, Josnei Novacoski +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic and geometric function theory #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2208.13684

openalex publication_date 2022/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend and prove a conjecture of Benguş-Lasnier on the parametrization of valuations on a polynomial ring by certain spaces of diskoids.

Related

• Valuations on K[x] approaching a fixed irreducible polynomial
• Minimal Pairs, Truncations and Diskoids
• Extensions of a valuation from K to K[x]
• Parametrizations of subsets of the space of valuations
• Valuations centered at a two-dimensional regular local ring: Infima and Topologies